5x(3x^3-7x(2x^3+4xy-2y)-3y(-5x^2+2x-3y^3)+4xy(9x-1))=0

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Solution for 5x(3x^3-7x(2x^3+4xy-2y)-3y(-5x^2+2x-3y^3)+4xy(9x-1))=0 equation: 


Simplifying
5x(3x3 + -7x(2x3 + 4xy + -2y) + -3y(-5x2 + 2x + -3y3) + 4xy(9x + -1)) = 0

Reorder the terms:
5x(3x3 + -7x(4xy + 2x3 + -2y) + -3y(-5x2 + 2x + -3y3) + 4xy(9x + -1)) = 0
5x(3x3 + (4xy * -7x + 2x3 * -7x + -2y * -7x) + -3y(-5x2 + 2x + -3y3) + 4xy(9x + -1)) = 0

Reorder the terms:
5x(3x3 + (14xy + -28x2y + -14x4) + -3y(-5x2 + 2x + -3y3) + 4xy(9x + -1)) = 0
5x(3x3 + (14xy + -28x2y + -14x4) + -3y(-5x2 + 2x + -3y3) + 4xy(9x + -1)) = 0

Reorder the terms:
5x(3x3 + 14xy + -28x2y + -14x4 + -3y(2x + -5x2 + -3y3) + 4xy(9x + -1)) = 0
5x(3x3 + 14xy + -28x2y + -14x4 + (2x * -3y + -5x2 * -3y + -3y3 * -3y) + 4xy(9x + -1)) = 0
5x(3x3 + 14xy + -28x2y + -14x4 + (-6xy + 15x2y + 9y4) + 4xy(9x + -1)) = 0

Reorder the terms:
5x(3x3 + 14xy + -28x2y + -14x4 + -6xy + 15x2y + 9y4 + 4xy(-1 + 9x)) = 0
5x(3x3 + 14xy + -28x2y + -14x4 + -6xy + 15x2y + 9y4 + (-1 * 4xy + 9x * 4xy)) = 0
5x(3x3 + 14xy + -28x2y + -14x4 + -6xy + 15x2y + 9y4 + (-4xy + 36x2y)) = 0

Reorder the terms:
5x(14xy + -6xy + -4xy + -28x2y + 15x2y + 36x2y + 3x3 + -14x4 + 9y4) = 0

Combine like terms: 14xy + -6xy = 8xy
5x(8xy + -4xy + -28x2y + 15x2y + 36x2y + 3x3 + -14x4 + 9y4) = 0

Combine like terms: 8xy + -4xy = 4xy
5x(4xy + -28x2y + 15x2y + 36x2y + 3x3 + -14x4 + 9y4) = 0

Combine like terms: -28x2y + 15x2y = -13x2y
5x(4xy + -13x2y + 36x2y + 3x3 + -14x4 + 9y4) = 0

Combine like terms: -13x2y + 36x2y = 23x2y
5x(4xy + 23x2y + 3x3 + -14x4 + 9y4) = 0
(4xy * 5x + 23x2y * 5x + 3x3 * 5x + -14x4 * 5x + 9y4 * 5x) = 0

Reorder the terms:
(45xy4 + 20x2y + 115x3y + 15x4 + -70x5) = 0
(45xy4 + 20x2y + 115x3y + 15x4 + -70x5) = 0

Solving
45xy4 + 20x2y + 115x3y + 15x4 + -70x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(9y4 + 4xy + 23x2y + 3x3 + -14x4) = 0

Ignore the factor 5.

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 '(9y4 + 4xy + 23x2y + 3x3 + -14x4)' equal to zero and attempt to solve:

Simplifying
9y4 + 4xy + 23x2y + 3x3 + -14x4 = 0

Reorder the terms:
4xy + 23x2y + 3x3 + -14x4 + 9y4 = 0

Solving
4xy + 23x2y + 3x3 + -14x4 + 9y4 = 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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