-y(2y+4x)(y-4)=

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Solution for -y(2y+4x)(y-4)= equation: 


Simplifying
-1y(2y + 4x)(y + -4) = 0

Reorder the terms:
-1y(4x + 2y)(y + -4) = 0

Reorder the terms:
-1y(4x + 2y)(-4 + y) = 0

Multiply (4x + 2y) * (-4 + y)
-1y(4x * (-4 + y) + 2y * (-4 + y)) = 0
-1y((-4 * 4x + y * 4x) + 2y * (-4 + y)) = 0
-1y((-16x + 4xy) + 2y * (-4 + y)) = 0
-1y(-16x + 4xy + (-4 * 2y + y * 2y)) = 0
-1y(-16x + 4xy + (-8y + 2y2)) = 0
-1y(-16x + 4xy + -8y + 2y2) = 0
(-16x * -1y + 4xy * -1y + -8y * -1y + 2y2 * -1y) = 0
(16xy + -4xy2 + 8y2 + -2y3) = 0

Solving
16xy + -4xy2 + 8y2 + -2y3 = 0

Solving for variable 'x'.

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

Add '-8y2' to each side of the equation.
16xy + -4xy2 + 8y2 + -8y2 + -2y3 = 0 + -8y2

Combine like terms: 8y2 + -8y2 = 0
16xy + -4xy2 + 0 + -2y3 = 0 + -8y2
16xy + -4xy2 + -2y3 = 0 + -8y2
Remove the zero:
16xy + -4xy2 + -2y3 = -8y2

Add '2y3' to each side of the equation.
16xy + -4xy2 + -2y3 + 2y3 = -8y2 + 2y3

Combine like terms: -2y3 + 2y3 = 0
16xy + -4xy2 + 0 = -8y2 + 2y3
16xy + -4xy2 = -8y2 + 2y3

Reorder the terms:
16xy + -4xy2 + 8y2 + -2y3 = -8y2 + 8y2 + 2y3 + -2y3

Combine like terms: -8y2 + 8y2 = 0
16xy + -4xy2 + 8y2 + -2y3 = 0 + 2y3 + -2y3
16xy + -4xy2 + 8y2 + -2y3 = 2y3 + -2y3

Combine like terms: 2y3 + -2y3 = 0
16xy + -4xy2 + 8y2 + -2y3 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(8x + -2xy + 4y + -1y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

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

Simplifying
0 = -1y

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(8x + -2xy + 4y + -1y2)' equal to zero and attempt to solve:

Simplifying
8x + -2xy + 4y + -1y2 = 0

Solving
8x + -2xy + 4y + -1y2 = 0

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

Add '-4y' to each side of the equation.
8x + -2xy + 4y + -4y + -1y2 = 0 + -4y

Combine like terms: 4y + -4y = 0
8x + -2xy + 0 + -1y2 = 0 + -4y
8x + -2xy + -1y2 = 0 + -4y
Remove the zero:
8x + -2xy + -1y2 = -4y

Add 'y2' to each side of the equation.
8x + -2xy + -1y2 + y2 = -4y + y2

Combine like terms: -1y2 + y2 = 0
8x + -2xy + 0 = -4y + y2
8x + -2xy = -4y + y2

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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