Solve algebra equations online with this free Algebra Calculator. Enter an equation containing x and get the solution with step-by-step working.
The calculator can solve linear, quadratic, and cubic equations, including equations with brackets and x on both sides. For quadratic equations, it shows the quadratic formula and discriminant. For cubic equations, it shows the cubic equation method and the calculated roots.
How to Use the Algebra Calculator
Enter an equation containing x in the input box and click Solve Equation. The calculator will identify the type of equation and show the answer along with the steps used to solve it.
For example, you can enter:
2x + 5 = 15x² + 5x + 6 = 02x² + 7x + 3 = 0x³ - 6x² + 11x - 6 = 03(x + 2) = 18
The calculator supports linear, quadratic, and cubic polynomial equations.
Types of Equations You Can Solve
Linear Equations
A linear equation contains x to the first power. For example:
2x + 5 = 15
The calculator rearranges the equation and finds the value of x.
Quadratic Equations
A quadratic equation contains x². For example:
x² + 5x + 6 = 0
The calculator uses the quadratic formula and calculates the discriminant to find the solutions.
Cubic Equations
A cubic equation contains x³. For example:
x³ - 6x² + 11x - 6 = 0
The calculator uses a cubic equation method to find the real solutions.
Step-by-Step Algebra Solutions
The calculator doesn’t only give the final answer. It also shows the main steps used to solve the equation.
For quadratic equations, the steps include identifying a, b, and c, calculating the discriminant, applying the quadratic formula, and finding the values of x.
For cubic equations, the calculator shows the normalized equation, the substitution used to remove the x² term, the values used in the cubic formula, and the resulting real roots.
Examples
Here are a few equations you can try:
Linear:4x + 3 = 19
Quadratic:x² + 5x + 6 = 0
Quadratic:2x² + 7x + 3 = 0
Cubic:x³ - 6x² + 11x - 6 = 0
With brackets:3(x + 2) = 18
You can type x2 or use x², and you can also use x3 or x³ when entering equations.
Frequently Asked Questions
What is an Algebra Calculator?
An Algebra Calculator is an online tool that solves equations containing an unknown variable, such as x. It can calculate the answer and show the steps used to reach the solution.
What types of equations can this calculator solve?
It can solve polynomial equations up to degree 3, including linear, quadratic, and cubic equations.
Can it solve quadratic equations?
Yes. You can enter equations such as x² + 5x + 6 = 0. The calculator uses the quadratic formula to find the solutions.
Can it solve cubic equations?
Yes. The calculator can solve cubic equations such as x³ - 6x² + 11x - 6 = 0 and show the method used to calculate the real solutions.
Does it show the steps?
Yes. The calculator provides a step-by-step explanation instead of showing only the final answer.
Can I enter equations with brackets?
Yes. Equations such as 3(x + 2) = 18 are supported.
Can I use x² and x³?
Yes. You can enter powers using x² and x³. You can also use x^2 and x^3.
Can it solve equations with x on both sides?
Yes, provided the resulting equation is a polynomial of degree 3 or lower.
What happens if a quadratic equation has no real answer?
The calculator will show No real solutions when the quadratic equation has a negative discriminant.
Can this calculator solve equations with powers higher than 3?
No. This version supports polynomial equations up to degree 3. Equations containing x⁴ or higher powers are outside the current scope of the calculator.
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