y^2-52y+660=0

Solution for y^2-52y+660=0 equation:

Simplifying
y2 + -52y + 660 = 0

Reorder the terms:
660 + -52y + y2 = 0

Solving
660 + -52y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(22 + -1y)(30 + -1y) = 0

Subproblem 1
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
Subproblem 2
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
Solution
y = {22, 30}