4y(y+2)(y+8)=0

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Solution for 4y(y+2)(y+8)=0 equation: 


Simplifying
4y(y + 2)(y + 8) = 0

Reorder the terms:
4y(2 + y)(y + 8) = 0

Reorder the terms:
4y(2 + y)(8 + y) = 0

Multiply (2 + y) * (8 + y)
4y(2(8 + y) + y(8 + y)) = 0
4y((8 * 2 + y * 2) + y(8 + y)) = 0
4y((16 + 2y) + y(8 + y)) = 0
4y(16 + 2y + (8 * y + y * y)) = 0
4y(16 + 2y + (8y + y2)) = 0

Combine like terms: 2y + 8y = 10y
4y(16 + 10y + y2) = 0
(16 * 4y + 10y * 4y + y2 * 4y) = 0
(64y + 40y2 + 4y3) = 0

Solving
64y + 40y2 + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(16 + 10y + y2) = 0

Factor a trinomial.
4y((8 + y)(2 + 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 '(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 3
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {0, -8, -2}

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