8y^3+48y^2+64y=(8y^2-6y)(2y)(x)

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Solution for 8y^3+48y^2+64y=(8y^2-6y)(2y)(x) equation: 


Simplifying
8y3 + 48y2 + 64y = (8y2 + -6y)(2y)(x)

Reorder the terms:
64y + 48y2 + 8y3 = (8y2 + -6y)(2y)(x)

Reorder the terms:
64y + 48y2 + 8y3 = (-6y + 8y2)(2y)(x)

Remove parenthesis around (2y)
64y + 48y2 + 8y3 = (-6y + 8y2) * 2y(x)

Reorder the terms for easier multiplication:
64y + 48y2 + 8y3 = 2y * x(-6y + 8y2)

Multiply y * x
64y + 48y2 + 8y3 = 2xy(-6y + 8y2)
64y + 48y2 + 8y3 = (-6y * 2xy + 8y2 * 2xy)
64y + 48y2 + 8y3 = (-12xy2 + 16xy3)

Solving
64y + 48y2 + 8y3 = -12xy2 + 16xy3

Solving for variable 'y'.

Reorder the terms:
12xy2 + -16xy3 + 64y + 48y2 + 8y3 = -12xy2 + 16xy3 + 12xy2 + -16xy3

Reorder the terms:
12xy2 + -16xy3 + 64y + 48y2 + 8y3 = -12xy2 + 12xy2 + 16xy3 + -16xy3

Combine like terms: -12xy2 + 12xy2 = 0
12xy2 + -16xy3 + 64y + 48y2 + 8y3 = 0 + 16xy3 + -16xy3
12xy2 + -16xy3 + 64y + 48y2 + 8y3 = 16xy3 + -16xy3

Combine like terms: 16xy3 + -16xy3 = 0
12xy2 + -16xy3 + 64y + 48y2 + 8y3 = 0

Factor out the Greatest Common Factor (GCF), '4y'.
4y(3xy + -4xy2 + 16 + 12y + 2y2) = 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 '(3xy + -4xy2 + 16 + 12y + 2y2)' equal to zero and attempt to solve:

Simplifying
3xy + -4xy2 + 16 + 12y + 2y2 = 0

Reorder the terms:
16 + 3xy + -4xy2 + 12y + 2y2 = 0

Solving
16 + 3xy + -4xy2 + 12y + 2y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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