-y^2+20y-36=0

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Solution for -y^2+20y-36=0 equation: 


Simplifying
-1y2 + 20y + -36 = 0

Reorder the terms:
-36 + 20y + -1y2 = 0

Solving
-36 + 20y + -1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-18 + y)(2 + -1y) = 0


Subproblem 1
Set the factor '(-18 + y)' equal to zero and attempt to solve:

Simplifying
-18 + y = 0

Solving
-18 + y = 0

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

Add '18' to each side of the equation.
-18 + 18 + y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + y = 0 + 18
y = 0 + 18

Combine like terms: 0 + 18 = 18
y = 18

Simplifying
y = 18

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {18, 2}

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