(3y-6)(3y-6)(3y-6)=0

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Solution for (3y-6)(3y-6)(3y-6)=0 equation:


Simplifying
(3y + -6)(3y + -6)(3y + -6) = 0

Reorder the terms:
(-6 + 3y)(3y + -6)(3y + -6) = 0

Reorder the terms:
(-6 + 3y)(-6 + 3y)(3y + -6) = 0

Reorder the terms:
(-6 + 3y)(-6 + 3y)(-6 + 3y) = 0

Multiply (-6 + 3y) * (-6 + 3y)
(-6(-6 + 3y) + 3y * (-6 + 3y))(-6 + 3y) = 0
((-6 * -6 + 3y * -6) + 3y * (-6 + 3y))(-6 + 3y) = 0
((36 + -18y) + 3y * (-6 + 3y))(-6 + 3y) = 0
(36 + -18y + (-6 * 3y + 3y * 3y))(-6 + 3y) = 0
(36 + -18y + (-18y + 9y2))(-6 + 3y) = 0

Combine like terms: -18y + -18y = -36y
(36 + -36y + 9y2)(-6 + 3y) = 0

Multiply (36 + -36y + 9y2) * (-6 + 3y)
(36(-6 + 3y) + -36y * (-6 + 3y) + 9y2 * (-6 + 3y)) = 0
((-6 * 36 + 3y * 36) + -36y * (-6 + 3y) + 9y2 * (-6 + 3y)) = 0
((-216 + 108y) + -36y * (-6 + 3y) + 9y2 * (-6 + 3y)) = 0
(-216 + 108y + (-6 * -36y + 3y * -36y) + 9y2 * (-6 + 3y)) = 0
(-216 + 108y + (216y + -108y2) + 9y2 * (-6 + 3y)) = 0
(-216 + 108y + 216y + -108y2 + (-6 * 9y2 + 3y * 9y2)) = 0
(-216 + 108y + 216y + -108y2 + (-54y2 + 27y3)) = 0

Combine like terms: 108y + 216y = 324y
(-216 + 324y + -108y2 + -54y2 + 27y3) = 0

Combine like terms: -108y2 + -54y2 = -162y2
(-216 + 324y + -162y2 + 27y3) = 0

Solving
-216 + 324y + -162y2 + 27y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '27'.
27(-8 + 12y + -6y2 + y3) = 0

Ignore the factor 27.

Subproblem 1
Set the factor '(-8 + 12y + -6y2 + y3)' equal to zero and attempt to solve:

Simplifying
-8 + 12y + -6y2 + y3 = 0

Solving
-8 + 12y + -6y2 + y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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