-5y(y-8)(y-9)=0

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Solution for -5y(y-8)(y-9)=0 equation: 


Simplifying
-5y(y + -8)(y + -9) = 0

Reorder the terms:
-5y(-8 + y)(y + -9) = 0

Reorder the terms:
-5y(-8 + y)(-9 + y) = 0

Multiply (-8 + y) * (-9 + y)
-5y(-8(-9 + y) + y(-9 + y)) = 0
-5y((-9 * -8 + y * -8) + y(-9 + y)) = 0
-5y((72 + -8y) + y(-9 + y)) = 0
-5y(72 + -8y + (-9 * y + y * y)) = 0
-5y(72 + -8y + (-9y + y2)) = 0

Combine like terms: -8y + -9y = -17y
-5y(72 + -17y + y2) = 0
(72 * -5y + -17y * -5y + y2 * -5y) = 0
(-360y + 85y2 + -5y3) = 0

Solving
-360y + 85y2 + -5y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-72 + 17y + -1y2) = 0

Factor a trinomial.
5y((-9 + y)(8 + -1y)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-9 + y)' equal to zero and attempt to solve:

Simplifying
-9 + y = 0

Solving
-9 + y = 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 + y = 0 + 9

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

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

Simplifying
y = 9

Subproblem 3
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, 9, 8}

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