12y^2+12y=144

Solution for 12y^2+12y=144 equation:

Simplifying
12y2 + 12y = 144

Reorder the terms:
12y + 12y2 = 144

Solving
12y + 12y2 = 144

Solving for variable 'y'.

Reorder the terms:
-144 + 12y + 12y2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 12y + 12y2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-12 + y + y2) = 0

Factor a trinomial.
12((-4 + -1y)(3 + -1y)) = 0

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

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

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

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

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

Simplifying
y = 3
Solution
y = {-4, 3}