x^2+87x=0

Solution for x^2+87x=0 equation:

Simplifying
x2 + 87x = 0

Reorder the terms:
87x + x2 = 0

Solving
87x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(87 + 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 '(87 + x)' equal to zero and attempt to solve:

Simplifying
87 + x = 0

Solving
87 + x = 0

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

Add '-87' to each side of the equation.
87 + -87 + x = 0 + -87

Combine like terms: 87 + -87 = 0
0 + x = 0 + -87
x = 0 + -87

Combine like terms: 0 + -87 = -87
x = -87

Simplifying
x = -87
Solution
x = {0, -87}