9y^2-64y-64=0

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Solution for 9y^2-64y-64=0 equation: 


Simplifying
9y2 + -64y + -64 = 0

Reorder the terms:
-64 + -64y + 9y2 = 0

Solving
-64 + -64y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -9y)(8 + -1y) = 0


Subproblem 1
Set the factor '(-8 + -9y)' equal to zero and attempt to solve:

Simplifying
-8 + -9y = 0

Solving
-8 + -9y = 0

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

Add '8' to each side of the equation.
-8 + 8 + -9y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -9y = 0 + 8
-9y = 0 + 8

Combine like terms: 0 + 8 = 8
-9y = 8

Divide each side by '-9'.
y = -0.8888888889

Simplifying
y = -0.8888888889

Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {-0.8888888889, 8}

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