120x+x^2=0

Solution for 120x+x^2=0 equation:

Simplifying
120x + x2 = 0

Solving
120x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(120 + 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 '(120 + x)' equal to zero and attempt to solve:

Simplifying
120 + x = 0

Solving
120 + x = 0

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

Add '-120' to each side of the equation.
120 + -120 + x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + x = 0 + -120
x = 0 + -120

Combine like terms: 0 + -120 = -120
x = -120

Simplifying
x = -120
Solution
x = {0, -120}