3(y+1)(-y-8)=0

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Solution for 3(y+1)(-y-8)=0 equation: 


Simplifying
3(y + 1)(-1y + -8) = 0

Reorder the terms:
3(1 + y)(-1y + -8) = 0

Reorder the terms:
3(1 + y)(-8 + -1y) = 0

Multiply (1 + y) * (-8 + -1y)
3(1(-8 + -1y) + y(-8 + -1y)) = 0
3((-8 * 1 + -1y * 1) + y(-8 + -1y)) = 0
3((-8 + -1y) + y(-8 + -1y)) = 0
3(-8 + -1y + (-8 * y + -1y * y)) = 0
3(-8 + -1y + (-8y + -1y2)) = 0

Combine like terms: -1y + -8y = -9y
3(-8 + -9y + -1y2) = 0
(-8 * 3 + -9y * 3 + -1y2 * 3) = 0
(-24 + -27y + -3y2) = 0

Solving
-24 + -27y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(8 + 9y + y2) = 0

Factor a trinomial.
-3((8 + y)(1 + y)) = 0

Ignore the factor -3.

Subproblem 1
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

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

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

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

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

Simplifying
y = -1
Solution
y = {-8, -1}

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