x^2+108x=0

Solution for x^2+108x=0 equation:

Simplifying
x2 + 108x = 0

Reorder the terms:
108x + x2 = 0

Solving
108x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(108 + 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 '(108 + x)' equal to zero and attempt to solve:

Simplifying
108 + x = 0

Solving
108 + x = 0

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

Add '-108' to each side of the equation.
108 + -108 + x = 0 + -108

Combine like terms: 108 + -108 = 0
0 + x = 0 + -108
x = 0 + -108

Combine like terms: 0 + -108 = -108
x = -108

Simplifying
x = -108
Solution
x = {0, -108}