12*y*(y+11)=144

Solution for 12*y*(y+11)=144 equation:

Simplifying
12y(y + 11) = 144

Reorder the terms:
12y(11 + y) = 144
(11 * 12y + y * 12y) = 144
(132y + 12y2) = 144

Solving
132y + 12y2 = 144

Solving for variable 'y'.

Reorder the terms:
-144 + 132y + 12y2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 132y + 12y2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-12 + 11y + y2) = 0

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

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

Simplifying
-12 + -1y = 0

Solving
-12 + -1y = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1y = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1y = 0 + 12
-1y = 0 + 12

Combine like terms: 0 + 12 = 12
-1y = 12

Divide each side by '-1'.
y = -12

Simplifying
y = -12
Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Solution
y = {-12, 1}