Advanced Equation Solver

Solve linear, quadratic, cubic, and system of equations with step-by-step solutions

Enter linear equation (e.g., 2x + 3 = 7):

Solution

Enter quadratic equation (e.g., x^2 - 5x + 6 = 0):

Solution

Enter cubic equation (e.g., x^3 - 6x^2 + 11x - 6 = 0):

Solution

Enter system of equations (one per line):

Variables (comma separated):

Solution

How to Use the Equation Solver

1. Select Equation Type

Choose the type of equation you want to solve: Linear, Quadratic, Cubic, or System of Equations.

2. Enter Your Equation

Type your equation using standard mathematical notation. For example:

Linear: 3x + 5 = 11
Quadratic: x^2 - 5x + 6 = 0
Cubic: x^3 - 6x^2 + 11x - 6 = 0
System: 2x + 3y = 7 and x - y = 1

3. Click Solve

Click the "Solve" button to get the solution with step-by-step explanations.

How to Use the Equation Solver

1. Select Equation Type

Choose from Linear, Quadratic, Cubic, or System of Equations using the tabs above.

2. Enter Your Equation

Type your equation using standard mathematical notation. Examples:

Linear: 2x + 5 = 13
Quadratic: x^2 - 5x + 6 = 0
Cubic: x^3 - 6x^2 + 11x - 6 = 0
System: 2x + 3y = 7 and x - y = 1

3. View Step-by-Step Solution

Click "Solve" to see a detailed, step-by-step solution to your equation.

4. Explore the Graph

For single-variable equations, view the graphical representation of the equation.

Common Equations Reference

Quadratic Formula

x = [-b ± √(b² - 4ac)] / 2a

Solves equations in the form ax² + bx + c = 0

Distance Formula

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Finds distance between two points (x₁,y₁) and (x₂,y₂)

Pythagorean Theorem

a² + b² = c²

For right-angled triangles, where c is the hypotenuse

Slope of a Line

m = (y₂ - y₁) / (x₂ - x₁)

Calculates the slope between two points

Area of Circle

A = πr²

Calculates area using radius r

Volume of Sphere

V = (4/3)πr³

Calculates volume using radius r

Graphical Representation

Graph will appear here after solving an equation