y^2+12y+2+12y-2=180

Solution for y^2+12y+2+12y-2=180 equation:

Simplifying
y2 + 12y + 2 + 12y + -2 = 180

Reorder the terms:
2 + -2 + 12y + 12y + y2 = 180

Combine like terms: 2 + -2 = 0
0 + 12y + 12y + y2 = 180
12y + 12y + y2 = 180

Combine like terms: 12y + 12y = 24y
24y + y2 = 180

Solving
24y + y2 = 180

Solving for variable 'y'.

Reorder the terms:
-180 + 24y + y2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 24y + y2 = 0

Factor a trinomial.
(-30 + -1y)(6 + -1y) = 0

Subproblem 1
Set the factor '(-30 + -1y)' equal to zero and attempt to solve:

Simplifying
-30 + -1y = 0

Solving
-30 + -1y = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1y = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1y = 0 + 30
-1y = 0 + 30

Combine like terms: 0 + 30 = 30
-1y = 30

Divide each side by '-1'.
y = -30

Simplifying
y = -30
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6
Solution
y = {-30, 6}