5x(x+12)=-180

Solution for 5x(x+12)=-180 equation:

Simplifying
5x(x + 12) = -180

Reorder the terms:
5x(12 + x) = -180
(12 * 5x + x * 5x) = -180
(60x + 5x2) = -180

Solving
60x + 5x2 = -180

Solving for variable 'x'.

Reorder the terms:
180 + 60x + 5x2 = -180 + 180

Combine like terms: -180 + 180 = 0
180 + 60x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(36 + 12x + x2) = 0

Factor a trinomial.
5((6 + x)(6 + x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-6, -6}