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

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


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

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

Multiply (2x + -1y) * (2xy + 4x2 + y2)
(2x * (2xy + 4x2 + y2) + -1y * (2xy + 4x2 + y2)) = 0
((2xy * 2x + 4x2 * 2x + y2 * 2x) + -1y * (2xy + 4x2 + y2)) = 0

Reorder the terms:
((2xy2 + 4x2y + 8x3) + -1y * (2xy + 4x2 + y2)) = 0
((2xy2 + 4x2y + 8x3) + -1y * (2xy + 4x2 + y2)) = 0
(2xy2 + 4x2y + 8x3 + (2xy * -1y + 4x2 * -1y + y2 * -1y)) = 0
(2xy2 + 4x2y + 8x3 + (-2xy2 + -4x2y + -1y3)) = 0

Reorder the terms:
(2xy2 + -2xy2 + 4x2y + -4x2y + 8x3 + -1y3) = 0

Combine like terms: 2xy2 + -2xy2 = 0
(0 + 4x2y + -4x2y + 8x3 + -1y3) = 0
(4x2y + -4x2y + 8x3 + -1y3) = 0

Combine like terms: 4x2y + -4x2y = 0
(0 + 8x3 + -1y3) = 0
(8x3 + -1y3) = 0

Solving
8x3 + -1y3 = 0

Solving for variable 'x'.

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

Add 'y3' to each side of the equation.
8x3 + -1y3 + y3 = 0 + y3

Combine like terms: -1y3 + y3 = 0
8x3 + 0 = 0 + y3
8x3 = 0 + y3
Remove the zero:
8x3 = y3

Divide each side by '8'.
x3 = 0.125y3

Simplifying
x3 = 0.125y3

Combine like terms: 0.125y3 + -0.125y3 = 0.000
x3 + -0.125y3 = 0.000

The solution to this equation could not be determined.

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