Algebra Calculator

Solve for variables and find roots of equations with step-by-step logic.

x + =

Solution Found

x = ?

Algebra Basics

Algebra is the branch of mathematics that helps us find unknown values. For Linear Equations, we use inverse operations to isolate $x$.

For Quadratic Equations, we use the Quadratic Formula:

$$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

If the value inside the square root (the discriminant) is negative, the equation has no real roots.

About the Free Algebra Calculator

Whether you are cramming for a math test or just need to double-check your homework, solving algebraic equations can be tedious and prone to simple calculation errors. Our free online Algebra Calculator is designed to not only give you the exact answer instantly but also show you the step-by-step logic used to get there, making it an incredible study tool.

How to Solve Your Equations

Choose Your Mode: Use the tabs at the top to select the type of equation you are working on. Choose "Linear" for basic variables, or "Quadratic" for equations with an $x^2$ term.
Enter the Coefficients: Plug your numbers into the provided input boxes to match the structure of your homework problem. Don't forget to include negative signs if a number is being subtracted!
Get the Solution: Click "Solve Equation." Our tool will instantly calculate the exact value of $x$. For quadratic equations, it will provide both potential roots (or alert you if there are no real roots).
Learn the Steps: Look below the final answer to see a plain-English breakdown of exactly how the problem was solved, whether through inverse operations or by applying the quadratic formula.

Explore More Math Utilities