Algebra Calculator | Solve Equations Step-by-Step

How to Use the Algebra Calculator

• Enter an equation in the input field (e.g., x^2 + 3x + 2 = 0).
• Click the “Solve” button to get the step-by-step solution.
• View the result & steps for better understanding.

Note: Always use x^2 instead of x² for squared terms.

How the Calculator Works

The algebra calculator is designed to handle two main types of equations:

Solving Linear Equations (ax + b = c)

A linear equation has the general form:

ax + b = c

Example: 3x + 5 = 11
Steps to solve:

1. Move b to the right-hand side: 3x = 11 − 5
2. Solve for x: x = 6/3​ = 2

Final Answer: x = 2

Solving Quadratic Equations (ax² + bx + c = 0)

A quadratic equation is in the form:

ax² + bx + c = 0

It is solved using the quadratic formula:

x = (- b ± √(b² – 4ac)) / 2a

Example: Solve x^2 + 3x + 2 = 0

Steps to solve:

1. Identify the values: a = 1, b = 3, c = 2
2. Calculate the discriminant: D = b² − 4ac = (3)² − 4(1)(2) = 9 − 8 = 1
3. Apply the quadratic formula: x = (−3 ± √1)​​/2(1)
4. Find the two possible values of x: x₁ ​= (−3 + 1)/2 ​= −1 , x₂​ = (−3−1)/2​ = −2

Final Answer: x = -1, -2