(X+2y)(x^3-2x^2y+4xy^2)=

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Solution for (X+2y)(x^3-2x^2y+4xy^2)= equation: 


Simplifying
(X + 2y)(x3 + -2x2y + 4xy2) = 0

Reorder the terms:
(X + 2y)(4xy2 + -2x2y + x3) = 0

Multiply (X + 2y) * (4xy2 + -2x2y + x3)
(X(4xy2 + -2x2y + x3) + 2y * (4xy2 + -2x2y + x3)) = 0
((4xy2 * X + -2x2y * X + x3 * X) + 2y * (4xy2 + -2x2y + x3)) = 0
((4xy2X + -2x2yX + x3X) + 2y * (4xy2 + -2x2y + x3)) = 0
(4xy2X + -2x2yX + x3X + (4xy2 * 2y + -2x2y * 2y + x3 * 2y)) = 0
(4xy2X + -2x2yX + x3X + (8xy3 + -4x2y2 + 2x3y)) = 0

Reorder the terms:
(4xy2X + 8xy3 + -2x2yX + -4x2y2 + x3X + 2x3y) = 0
(4xy2X + 8xy3 + -2x2yX + -4x2y2 + x3X + 2x3y) = 0

Solving
4xy2X + 8xy3 + -2x2yX + -4x2y2 + x3X + 2x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4y2X + 8y3 + -2xyX + -4xy2 + x2X + 2x2y) = 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 '(4y2X + 8y3 + -2xyX + -4xy2 + x2X + 2x2y)' equal to zero and attempt to solve:

Simplifying
4y2X + 8y3 + -2xyX + -4xy2 + x2X + 2x2y = 0

Reorder the terms:
-2xyX + -4xy2 + x2X + 2x2y + 4y2X + 8y3 = 0

Solving
-2xyX + -4xy2 + x2X + 2x2y + 4y2X + 8y3 = 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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