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

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


Simplifying
2x2(x + -3y) + -1x(4 + -8x2) = 0
(x * 2x2 + -3y * 2x2) + -1x(4 + -8x2) = 0

Reorder the terms:
(-6x2y + 2x3) + -1x(4 + -8x2) = 0
(-6x2y + 2x3) + -1x(4 + -8x2) = 0
-6x2y + 2x3 + (4 * -1x + -8x2 * -1x) = 0
-6x2y + 2x3 + (-4x + 8x3) = 0

Reorder the terms:
-4x + -6x2y + 2x3 + 8x3 = 0

Combine like terms: 2x3 + 8x3 = 10x3
-4x + -6x2y + 10x3 = 0

Solving
-4x + -6x2y + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-2 + -3xy + 5x2) = 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 '(-2 + -3xy + 5x2)' equal to zero and attempt to solve:

Simplifying
-2 + -3xy + 5x2 = 0

Solving
-2 + -3xy + 5x2 = 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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