y^2-9y-162=0

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Solution for y^2-9y-162=0 equation: 


Simplifying
y2 + -9y + -162 = 0

Reorder the terms:
-162 + -9y + y2 = 0

Solving
-162 + -9y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-9 + -1y)(18 + -1y) = 0


Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve:

Simplifying
-9 + -1y = 0

Solving
-9 + -1y = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1y = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = 0 + 9
-1y = 0 + 9

Combine like terms: 0 + 9 = 9
-1y = 9

Divide each side by '-1'.
y = -9

Simplifying
y = -9

Subproblem 2
Set the factor '(18 + -1y)' equal to zero and attempt to solve:

Simplifying
18 + -1y = 0

Solving
18 + -1y = 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 + -1y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1y = 0 + -18
-1y = 0 + -18

Combine like terms: 0 + -18 = -18
-1y = -18

Divide each side by '-1'.
y = 18

Simplifying
y = 18
Solution
y = {-9, 18}

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