(2x+3y)(2x+3y)(2x+3y)=0

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Solution for (2x+3y)(2x+3y)(2x+3y)=0 equation: 


Simplifying
(2x + 3y)(2x + 3y)(2x + 3y) = 0

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

Reorder the terms:
((6xy + 4x2) + 3y * (2x + 3y))(2x + 3y) = 0
((6xy + 4x2) + 3y * (2x + 3y))(2x + 3y) = 0
(6xy + 4x2 + (2x * 3y + 3y * 3y))(2x + 3y) = 0
(6xy + 4x2 + (6xy + 9y2))(2x + 3y) = 0

Reorder the terms:
(6xy + 6xy + 4x2 + 9y2)(2x + 3y) = 0

Combine like terms: 6xy + 6xy = 12xy
(12xy + 4x2 + 9y2)(2x + 3y) = 0

Multiply (12xy + 4x2 + 9y2) * (2x + 3y)
(12xy * (2x + 3y) + 4x2 * (2x + 3y) + 9y2 * (2x + 3y)) = 0
((2x * 12xy + 3y * 12xy) + 4x2 * (2x + 3y) + 9y2 * (2x + 3y)) = 0

Reorder the terms:
((36xy2 + 24x2y) + 4x2 * (2x + 3y) + 9y2 * (2x + 3y)) = 0
((36xy2 + 24x2y) + 4x2 * (2x + 3y) + 9y2 * (2x + 3y)) = 0
(36xy2 + 24x2y + (2x * 4x2 + 3y * 4x2) + 9y2 * (2x + 3y)) = 0

Reorder the terms:
(36xy2 + 24x2y + (12x2y + 8x3) + 9y2 * (2x + 3y)) = 0
(36xy2 + 24x2y + (12x2y + 8x3) + 9y2 * (2x + 3y)) = 0
(36xy2 + 24x2y + 12x2y + 8x3 + (2x * 9y2 + 3y * 9y2)) = 0
(36xy2 + 24x2y + 12x2y + 8x3 + (18xy2 + 27y3)) = 0

Reorder the terms:
(36xy2 + 18xy2 + 24x2y + 12x2y + 8x3 + 27y3) = 0

Combine like terms: 36xy2 + 18xy2 = 54xy2
(54xy2 + 24x2y + 12x2y + 8x3 + 27y3) = 0

Combine like terms: 24x2y + 12x2y = 36x2y
(54xy2 + 36x2y + 8x3 + 27y3) = 0

Solving
54xy2 + 36x2y + 8x3 + 27y3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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