0=4x^3y^4+8x^4y-12x^9y^3

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Solution for 0=4x^3y^4+8x^4y-12x^9y^3 equation:


Simplifying
0 = 4x3y4 + 8x4y + -12x9y3

Solving
0 = 4x3y4 + 8x4y + -12x9y3

Solving for variable 'x'.
Remove the zero:
-4x3y4 + -8x4y + 12x9y3 = 4x3y4 + 8x4y + -12x9y3 + -4x3y4 + -8x4y + 12x9y3

Reorder the terms:
-4x3y4 + -8x4y + 12x9y3 = 4x3y4 + -4x3y4 + 8x4y + -8x4y + -12x9y3 + 12x9y3

Combine like terms: 4x3y4 + -4x3y4 = 0
-4x3y4 + -8x4y + 12x9y3 = 0 + 8x4y + -8x4y + -12x9y3 + 12x9y3
-4x3y4 + -8x4y + 12x9y3 = 8x4y + -8x4y + -12x9y3 + 12x9y3

Combine like terms: 8x4y + -8x4y = 0
-4x3y4 + -8x4y + 12x9y3 = 0 + -12x9y3 + 12x9y3
-4x3y4 + -8x4y + 12x9y3 = -12x9y3 + 12x9y3

Combine like terms: -12x9y3 + 12x9y3 = 0
-4x3y4 + -8x4y + 12x9y3 = 0

Factor out the Greatest Common Factor (GCF), '4x3y'.
4x3y(-1y3 + -2x + 3x6y2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x3y' equal to zero and attempt to solve: Simplifying x3y = 0 Solving x3y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y = 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 '(-1y3 + -2x + 3x6y2)' equal to zero and attempt to solve: Simplifying -1y3 + -2x + 3x6y2 = 0 Reorder the terms: -2x + 3x6y2 + -1y3 = 0 Solving -2x + 3x6y2 + -1y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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