Linear Equation Solver
Solve ax + b = 0 for x, showing the solution and verification step.
Inputs
Must be non-zero
Solution (x)
-3.000000
Equation
2x + 6 = 0 → x = -3
Step by step
Values used
a (coefficient of x) = 2; b (constant term) = 6
Linear equation
x = -b / a
Solution (x)
= -3.000000
Equation
= 2x + 6 = 0 → x = -3
How it works
A linear equation ax + b = 0 has exactly one solution: x = −b/a. This calculator solves any first-degree equation in one variable.
Formula
Linear equation
x = -b / a
- a
- Coefficient of x
- b
- Constant term
Frequently Asked Questions
What if a equals zero?
If a = 0, the equation is not linear — it becomes b = 0, which is either always true (b=0) or has no solution.
Can this solve equations like 3x + 5 = 11?
Yes — rewrite as 3x + (5−11) = 0, so a=3, b=−6, giving x=2.