y^2-28y+132=0

Solution for y^2-28y+132=0 equation:

Simplifying
y2 + -28y + 132 = 0

Reorder the terms:
132 + -28y + y2 = 0

Solving
132 + -28y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + -1y)(22 + -1y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(22 + -1y)' equal to zero and attempt to solve:

Simplifying
22 + -1y = 0

Solving
22 + -1y = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1y = 0 + -22
-1y = 0 + -22

Combine like terms: 0 + -22 = -22
-1y = -22

Divide each side by '-1'.
y = 22

Simplifying
y = 22
Solution
y = {6, 22}