4x^2+60x=216

Solution for 4x^2+60x=216 equation:

Simplifying
4x2 + 60x = 216

Reorder the terms:
60x + 4x2 = 216

Solving
60x + 4x2 = 216

Solving for variable 'x'.

Reorder the terms:
-216 + 60x + 4x2 = 216 + -216

Combine like terms: 216 + -216 = 0
-216 + 60x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-54 + 15x + x2) = 0

Factor a trinomial.
4((-18 + -1x)(3 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-18, 3}