4y(y+9)(y+8)=0

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Solution for 4y(y+9)(y+8)=0 equation: 


Simplifying
4y(y + 9)(y + 8) = 0

Reorder the terms:
4y(9 + y)(y + 8) = 0

Reorder the terms:
4y(9 + y)(8 + y) = 0

Multiply (9 + y) * (8 + y)
4y(9(8 + y) + y(8 + y)) = 0
4y((8 * 9 + y * 9) + y(8 + y)) = 0
4y((72 + 9y) + y(8 + y)) = 0
4y(72 + 9y + (8 * y + y * y)) = 0
4y(72 + 9y + (8y + y2)) = 0

Combine like terms: 9y + 8y = 17y
4y(72 + 17y + y2) = 0
(72 * 4y + 17y * 4y + y2 * 4y) = 0
(288y + 68y2 + 4y3) = 0

Solving
288y + 68y2 + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(72 + 17y + y2) = 0

Factor a trinomial.
4y((9 + y)(8 + y)) = 0

Ignore the factor 4.

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 + 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 = {0, -9, -8}

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