(4x^2-y^2)*(2x^2-xy)=

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Solution for (4x^2-y^2)*(2x^2-xy)= equation:


Simplifying
(4x2 + -1y2)(2x2 + -1xy) = 0

Reorder the terms:
(4x2 + -1y2)(-1xy + 2x2) = 0

Multiply (4x2 + -1y2) * (-1xy + 2x2)
(4x2 * (-1xy + 2x2) + -1y2 * (-1xy + 2x2)) = 0
((-1xy * 4x2 + 2x2 * 4x2) + -1y2 * (-1xy + 2x2)) = 0
((-4x3y + 8x4) + -1y2 * (-1xy + 2x2)) = 0
(-4x3y + 8x4 + (-1xy * -1y2 + 2x2 * -1y2)) = 0
(-4x3y + 8x4 + (1xy3 + -2x2y2)) = 0

Reorder the terms:
(1xy3 + -2x2y2 + -4x3y + 8x4) = 0
(1xy3 + -2x2y2 + -4x3y + 8x4) = 0

Solving
1xy3 + -2x2y2 + -4x3y + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(y3 + -2xy2 + -4x2y + 8x3) = 0

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 '(y3 + -2xy2 + -4x2y + 8x3)' equal to zero and attempt to solve: Simplifying y3 + -2xy2 + -4x2y + 8x3 = 0 Reorder the terms: -2xy2 + -4x2y + 8x3 + y3 = 0 Solving -2xy2 + -4x2y + 8x3 + y3 = 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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