x^2+137x=0

Solution for x^2+137x=0 equation:

Simplifying
x2 + 137x = 0

Reorder the terms:
137x + x2 = 0

Solving
137x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(137 + 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 '(137 + x)' equal to zero and attempt to solve:

Simplifying
137 + x = 0

Solving
137 + x = 0

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

Add '-137' to each side of the equation.
137 + -137 + x = 0 + -137

Combine like terms: 137 + -137 = 0
0 + x = 0 + -137
x = 0 + -137

Combine like terms: 0 + -137 = -137
x = -137

Simplifying
x = -137
Solution
x = {0, -137}