4x^2+60x=-144

Solution for 4x^2+60x=-144 equation:

Simplifying
4x2 + 60x = -144

Reorder the terms:
60x + 4x2 = -144

Solving
60x + 4x2 = -144

Solving for variable 'x'.

Reorder the terms:
144 + 60x + 4x2 = -144 + 144

Combine like terms: -144 + 144 = 0
144 + 60x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + 15x + x2) = 0

Factor a trinomial.
4((12 + x)(3 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-12, -3}