2x(x^3-4xy-6xy^2)=

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Solution for 2x(x^3-4xy-6xy^2)= equation: 


Simplifying
2x(x3 + -4xy + -6xy2) = 0

Reorder the terms:
2x(-4xy + -6xy2 + x3) = 0
(-4xy * 2x + -6xy2 * 2x + x3 * 2x) = 0
(-8x2y + -12x2y2 + 2x4) = 0

Solving
-8x2y + -12x2y2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-4y + -6y2 + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-4y + -6y2 + x2)' equal to zero and attempt to solve:

Simplifying
-4y + -6y2 + x2 = 0

Reorder the terms:
x2 + -4y + -6y2 = 0

Solving
x2 + -4y + -6y2 = 0

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

Add '4y' to each side of the equation.
x2 + -4y + 4y + -6y2 = 0 + 4y

Combine like terms: -4y + 4y = 0
x2 + 0 + -6y2 = 0 + 4y
x2 + -6y2 = 0 + 4y
Remove the zero:
x2 + -6y2 = 4y

Add '6y2' to each side of the equation.
x2 + -6y2 + 6y2 = 4y + 6y2

Combine like terms: -6y2 + 6y2 = 0
x2 + 0 = 4y + 6y2
x2 = 4y + 6y2

Simplifying
x2 = 4y + 6y2

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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