Linear Equation Solver (ax+b=0)

Enter coefficients a and b to solve the linear equation ax+b=0. Get x=−b/a instantly, including the special cases when a is zero.

Input

Enter the coefficients a and b of the linear equation ax+b=0 to find the solution x=−b/a.

Coefficient a

x +

Coefficient b

= 0

Both a and b can be any real number. Setting a to 0 triggers the no-solution or infinite-solution case.

Solution

x = 3

Because a is not zero, the solution is uniquely determined.

Coefficient a

Coefficient b

-6

Formula

x = −b ÷ a

A linear equation ax+b=0 is solved by subtracting b from both sides and dividing by a, giving x=−b/a.
When the coefficient a is not zero, there is exactly one solution, x=−b/a.
When a is zero and b is also zero, every real number satisfies the equation, so there are infinitely many solutions.
When a is zero and b is not zero, no value of x can satisfy the equation, so there is no solution.
The number line is a visual aid that shows where the solution x lies.

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