Photomath Math Algebra Calculator

Enter equations, expressions, or systems for detailed work. Review steps, download files, and practice examples. Learn faster with clean answers and organized math reasoning.

Calculator Form

Formula Used

Linear equation: ax + b = 0, so x = -b / a.

Quadratic equation: ax² + bx + c = 0, so x = (-b ± √(b² - 4ac)) / 2a.

Expression value: simplify the polynomial, then replace x with the selected number.

Two variable system: D = a1b2 - a2b1. Then x = (c1b2 - c2b1) / D and y = (a1c2 - a2c1) / D.

Factoring: after roots r1 and r2 are found, ax² + bx + c = a(x - r1)(x - r2).

How to Use This Calculator

  1. Select the calculation mode that matches your algebra task.
  2. Enter an equation, expression, coefficients, or system values.
  3. Choose the variable and decimal places.
  4. Press Calculate to show the result above the form.
  5. Use CSV or PDF buttons when you need a saved copy.

Example Data Table

Mode Sample Input Main Formula Expected Result
Equation 2x + 5 = 17 x = -b / a x = 6
Quadratic x² - 5x + 6 = 0 Quadratic formula x = 3, 2
Expression x² + 3x + 2, x = 3 Substitution 20
System 2x + y = 7, x - y = 1 Cramer rule x = 2.6667, y = 1.6667

Why This Algebra Tool Helps

Algebra becomes easier when each line has a clear purpose. This calculator is built for learners who want fast answers and readable steps. It accepts equations, expressions, quadratics, factoring tasks, and small systems. It then turns the input into organized work. You can check homework logic. You can compare methods. You can also export the final result for class notes.

What It Can Solve

Use the equation mode for linear or quadratic equations with one variable. Enter forms like 2x+5=17 or x^2-5x+6=0. The expression mode evaluates a formula after you choose a value for x. The quadratic mode is useful when you already know a, b, and c. The system mode solves two equations written as a x plus b y equals c. The factor mode gives a useful factored form when the expression is quadratic.

Why Steps Matter

A final answer is helpful, but steps teach the method. This page shows the reduced equation, important coefficients, the discriminant, and the substitution used during calculation. These details help you find sign mistakes. They also make review easier before a quiz or test. When a result includes complex roots, the calculator explains that the graph has no real x intercepts.

Good Input Tips

Write multiplication with a star, or write it directly as 2x. Use the caret for powers, such as x^2. Keep exponents as whole numbers. Use parentheses when grouping terms. For best results, avoid advanced functions like sine or logarithms. This tool focuses on school algebra and polynomial work.

Learning Value

The calculator is not only a shortcut. It is a study aid. Try changing one number in an equation. Watch how the roots, slope, or value changes. Compare examples in the table below. Save your work as a file when you need a record. Use the formulas section to connect each answer with the rule that produced it. It supports patient repeated practice.

Practical Use

Teachers can use this page for quick checks. Students can use it for practice. Parents can use it to review assignments. The layout stays simple. The form adjusts across screens. The result appears first, so the answer is easy to find.

FAQs

1. What can this algebra calculator solve?

It can solve linear equations, quadratic equations, expression values, quadratic factoring, and two variable systems. It also shows important steps.

2. Can I enter 2x instead of 2*x?

Yes. The parser supports simple implicit multiplication, such as 2x and (x+1)(x-2). You may also use the star symbol.

3. Which powers are supported?

The calculator accepts whole number powers up to degree four for parsing. Exact solving is focused on linear and quadratic equations.

4. Does it show complex roots?

Yes. If a quadratic has a negative discriminant, the result shows roots in a real plus or minus imaginary form.

5. How do I download the result?

Enter your values and press the CSV or PDF button. The current calculation will be processed and downloaded as a file.

6. Can this replace class learning?

No. It is best used as a study helper. Read the steps and formulas so you understand how each answer is formed.

7. Why did I get a parsing error?

The input may contain unsupported symbols, missing parentheses, or advanced functions. Use numbers, one variable, arithmetic operators, and whole powers.

8. Can I change decimal places?

Yes. Use the decimal places field. You can show from zero to eight decimal places in the displayed result.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.