x^2+72x=0

Solution for x^2+72x=0 equation:

Simplifying
x2 + 72x = 0

Reorder the terms:
72x + x2 = 0

Solving
72x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(72 + 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 '(72 + x)' equal to zero and attempt to solve:

Simplifying
72 + x = 0

Solving
72 + x = 0

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

Add '-72' to each side of the equation.
72 + -72 + x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + x = 0 + -72
x = 0 + -72

Combine like terms: 0 + -72 = -72
x = -72

Simplifying
x = -72
Solution
x = {0, -72}