6x^3(2-y)-8x^2(2-y)+4x(y-2)=

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Solution for 6x^3(2-y)-8x^2(2-y)+4x(y-2)= equation: 


Simplifying
6x3(2 + -1y) + -8x2(2 + -1y) + 4x(y + -2) = 0
(2 * 6x3 + -1y * 6x3) + -8x2(2 + -1y) + 4x(y + -2) = 0
(12x3 + -6x3y) + -8x2(2 + -1y) + 4x(y + -2) = 0
12x3 + -6x3y + (2 * -8x2 + -1y * -8x2) + 4x(y + -2) = 0
12x3 + -6x3y + (-16x2 + 8x2y) + 4x(y + -2) = 0

Reorder the terms:
12x3 + -6x3y + -16x2 + 8x2y + 4x(-2 + y) = 0
12x3 + -6x3y + -16x2 + 8x2y + (-2 * 4x + y * 4x) = 0
12x3 + -6x3y + -16x2 + 8x2y + (-8x + 4xy) = 0

Reorder the terms:
-8x + 4xy + -16x2 + 8x2y + 12x3 + -6x3y = 0

Solving
-8x + 4xy + -16x2 + 8x2y + 12x3 + -6x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + 2y + -8x + 4xy + 6x2 + -3x2y) = 0

Ignore the factor 2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + 2y + -8x + 4xy + 6x2 + -3x2y)' equal to zero and attempt to solve:

Simplifying
-4 + 2y + -8x + 4xy + 6x2 + -3x2y = 0

Reorder the terms:
-4 + -8x + 4xy + 6x2 + -3x2y + 2y = 0

Solving
-4 + -8x + 4xy + 6x2 + -3x2y + 2y = 0

The solution to this equation could not be determined.

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

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