x^2+123x=0

Solution for x^2+123x=0 equation:

Simplifying
x2 + 123x = 0

Reorder the terms:
123x + x2 = 0

Solving
123x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(123 + x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(123 + x)' equal to zero and attempt to solve:

Simplifying
123 + x = 0

Solving
123 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-123' to each side of the equation.
123 + -123 + x = 0 + -123

Combine like terms: 123 + -123 = 0
0 + x = 0 + -123
x = 0 + -123

Combine like terms: 0 + -123 = -123
x = -123

Simplifying
x = -123
Solution
x = {0, -123}