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

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


Simplifying
5(y + 9)(-1y + -8) = 0

Reorder the terms:
5(9 + y)(-1y + -8) = 0

Reorder the terms:
5(9 + y)(-8 + -1y) = 0

Multiply (9 + y) * (-8 + -1y)
5(9(-8 + -1y) + y(-8 + -1y)) = 0
5((-8 * 9 + -1y * 9) + y(-8 + -1y)) = 0
5((-72 + -9y) + y(-8 + -1y)) = 0
5(-72 + -9y + (-8 * y + -1y * y)) = 0
5(-72 + -9y + (-8y + -1y2)) = 0

Combine like terms: -9y + -8y = -17y
5(-72 + -17y + -1y2) = 0
(-72 * 5 + -17y * 5 + -1y2 * 5) = 0
(-360 + -85y + -5y2) = 0

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

Solving for variable 'y'.

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

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

Ignore the factor -5.

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

Simplifying
8 + y = 0

Solving
8 + y = 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 + y = 0 + -8

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

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

Simplifying
y = -8
Solution
y = {-9, -8}

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