x^2+91x=0

Solution for x^2+91x=0 equation:

Simplifying
x2 + 91x = 0

Reorder the terms:
91x + x2 = 0

Solving
91x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(91 + 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 '(91 + x)' equal to zero and attempt to solve:

Simplifying
91 + x = 0

Solving
91 + x = 0

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

Add '-91' to each side of the equation.
91 + -91 + x = 0 + -91

Combine like terms: 91 + -91 = 0
0 + x = 0 + -91
x = 0 + -91

Combine like terms: 0 + -91 = -91
x = -91

Simplifying
x = -91
Solution
x = {0, -91}