Equation Type
Linear
ax + b = c
Quadratic
ax² + bx + c = 0
Coefficients
Your Equation
3x + 5 = 14
Solution Steps
Enter coefficients and click Solve to see step-by-step solution
Solve ax + b = c step by step
Use the quadratic formula with explanations
See solutions on interactive graphs
Understand the reasoning behind each step
ax + b = c
ax² + bx + c = 0
Enter coefficients and click Solve to see step-by-step solution
Always verify your solution by substituting back into the original equation.
// Equation: 2x + 4 = 10
// Solution: x = 3
// Verify:
2(3) + 4 = 6 + 4 = 10 �?/code>For quadratic equations, if b² - 4ac < 0, there are no real solutions!
// x² + x + 1 = 0
// Discriminant: 1² - 4(1)(1) = -3
// No real solutions exist
// Complex: x = (-1 ± i�?) / 2The quadratic formula is x = (-b ± �?b² - 4ac)) / 2a. It solves any quadratic equation of the form ax² + bx + c = 0.
Quadratic equations can have 0, 1, or 2 real solutions depending on the discriminant (b² - 4ac). A positive discriminant gives 2 solutions.
This tool currently supports only linear and quadratic equations. For higher-degree polynomials, numerical methods or specialized software are needed.