(2x+y)(2x+y)(2x+y)-2x(2x-y)(2x+3y)-y*y*y=

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Solution for (2x+y)(2x+y)(2x+y)-2x(2x-y)(2x+3y)-y*y*y= equation: 


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

Multiply (2x + y) * (2x + y)
(2x * (2x + y) + y(2x + y))(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
((2x * 2x + y * 2x) + y(2x + y))(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Reorder the terms:
((2xy + 4x2) + y(2x + y))(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
((2xy + 4x2) + y(2x + y))(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
(2xy + 4x2 + (2x * y + y * y))(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
(2xy + 4x2 + (2xy + y2))(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Reorder the terms:
(2xy + 2xy + 4x2 + y2)(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Combine like terms: 2xy + 2xy = 4xy
(4xy + 4x2 + y2)(2x + y) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Multiply (4xy + 4x2 + y2) * (2x + y)
(4xy * (2x + y) + 4x2 * (2x + y) + y2(2x + y)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
((2x * 4xy + y * 4xy) + 4x2 * (2x + y) + y2(2x + y)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Reorder the terms:
((4xy2 + 8x2y) + 4x2 * (2x + y) + y2(2x + y)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
((4xy2 + 8x2y) + 4x2 * (2x + y) + y2(2x + y)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
(4xy2 + 8x2y + (2x * 4x2 + y * 4x2) + y2(2x + y)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Reorder the terms:
(4xy2 + 8x2y + (4x2y + 8x3) + y2(2x + y)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
(4xy2 + 8x2y + (4x2y + 8x3) + y2(2x + y)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
(4xy2 + 8x2y + 4x2y + 8x3 + (2x * y2 + y * y2)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0
(4xy2 + 8x2y + 4x2y + 8x3 + (2xy2 + y3)) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Reorder the terms:
(4xy2 + 2xy2 + 8x2y + 4x2y + 8x3 + y3) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Combine like terms: 4xy2 + 2xy2 = 6xy2
(6xy2 + 8x2y + 4x2y + 8x3 + y3) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Combine like terms: 8x2y + 4x2y = 12x2y
(6xy2 + 12x2y + 8x3 + y3) + -2x(2x + -1y)(2x + 3y) + -1y * y * y = 0

Multiply (2x + -1y) * (2x + 3y)
6xy2 + 12x2y + 8x3 + y3 + -2x(2x * (2x + 3y) + -1y * (2x + 3y)) + -1y * y * y = 0
6xy2 + 12x2y + 8x3 + y3 + -2x((2x * 2x + 3y * 2x) + -1y * (2x + 3y)) + -1y * y * y = 0

Reorder the terms:
6xy2 + 12x2y + 8x3 + y3 + -2x((6xy + 4x2) + -1y * (2x + 3y)) + -1y * y * y = 0
6xy2 + 12x2y + 8x3 + y3 + -2x((6xy + 4x2) + -1y * (2x + 3y)) + -1y * y * y = 0
6xy2 + 12x2y + 8x3 + y3 + -2x(6xy + 4x2 + (2x * -1y + 3y * -1y)) + -1y * y * y = 0
6xy2 + 12x2y + 8x3 + y3 + -2x(6xy + 4x2 + (-2xy + -3y2)) + -1y * y * y = 0

Reorder the terms:
6xy2 + 12x2y + 8x3 + y3 + -2x(6xy + -2xy + 4x2 + -3y2) + -1y * y * y = 0

Combine like terms: 6xy + -2xy = 4xy
6xy2 + 12x2y + 8x3 + y3 + -2x(4xy + 4x2 + -3y2) + -1y * y * y = 0
6xy2 + 12x2y + 8x3 + y3 + (4xy * -2x + 4x2 * -2x + -3y2 * -2x) + -1y * y * y = 0

Reorder the terms:
6xy2 + 12x2y + 8x3 + y3 + (6xy2 + -8x2y + -8x3) + -1y * y * y = 0
6xy2 + 12x2y + 8x3 + y3 + (6xy2 + -8x2y + -8x3) + -1y * y * y = 0

Multiply y * y
6xy2 + 12x2y + 8x3 + y3 + 6xy2 + -8x2y + -8x3 + -1y2 * y = 0

Multiply y2 * y
6xy2 + 12x2y + 8x3 + y3 + 6xy2 + -8x2y + -8x3 + -1y3 = 0

Reorder the terms:
6xy2 + 6xy2 + 12x2y + -8x2y + 8x3 + -8x3 + y3 + -1y3 = 0

Combine like terms: 6xy2 + 6xy2 = 12xy2
12xy2 + 12x2y + -8x2y + 8x3 + -8x3 + y3 + -1y3 = 0

Combine like terms: 12x2y + -8x2y = 4x2y
12xy2 + 4x2y + 8x3 + -8x3 + y3 + -1y3 = 0

Combine like terms: 8x3 + -8x3 = 0
12xy2 + 4x2y + 0 + y3 + -1y3 = 0
12xy2 + 4x2y + y3 + -1y3 = 0

Combine like terms: y3 + -1y3 = 0
12xy2 + 4x2y + 0 = 0
12xy2 + 4x2y = 0

Solving
12xy2 + 4x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(3y + x) = 0

Ignore the factor 4.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3y + x)' equal to zero and attempt to solve:

Simplifying
3y + x = 0

Reorder the terms:
x + 3y = 0

Solving
x + 3y = 0

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

Add '-3y' to each side of the equation.
x + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
x + 0 = 0 + -3y
x = 0 + -3y
Remove the zero:
x = -3y

Simplifying
x = -3y
Solution
x = {-3y}

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