y^2-12y+36=100

Solution for y^2-12y+36=100 equation:

Simplifying
y2 + -12y + 36 = 100

Reorder the terms:
36 + -12y + y2 = 100

Solving
36 + -12y + y2 = 100

Solving for variable 'y'.

Reorder the terms:
36 + -100 + -12y + y2 = 100 + -100

Combine like terms: 36 + -100 = -64
-64 + -12y + y2 = 100 + -100

Combine like terms: 100 + -100 = 0
-64 + -12y + y2 = 0

Factor a trinomial.
(-4 + -1y)(16 + -1y) = 0

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 '(16 + -1y)' equal to zero and attempt to solve:

Simplifying
16 + -1y = 0

Solving
16 + -1y = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = 0 + -16
-1y = 0 + -16

Combine like terms: 0 + -16 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16
Solution
y = {-4, 16}