-y^2+15y=36

Solution for -y^2+15y=36 equation:

Simplifying
-1y2 + 15y = 36

Reorder the terms:
15y + -1y2 = 36

Solving
15y + -1y2 = 36

Solving for variable 'y'.

Reorder the terms:
-36 + 15y + -1y2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + 15y + -1y2 = 0

Factor a trinomial.
(-12 + y)(3 + -1y) = 0

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

Simplifying
-12 + y = 0

Solving
-12 + y = 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 + y = 0 + 12

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

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

Simplifying
y = 12
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {12, 3}