4xy-4x+4y^3=-36

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Solution for 4xy-4x+4y^3=-36 equation:


Simplifying
4xy + -4x + 4y3 = -36

Reorder the terms:
-4x + 4xy + 4y3 = -36

Solving
-4x + 4xy + 4y3 = -36

Solving for variable 'x'.

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

Add '-4y3' to each side of the equation.
-4x + 4xy + 4y3 + -4y3 = -36 + -4y3

Combine like terms: 4y3 + -4y3 = 0
-4x + 4xy + 0 = -36 + -4y3
-4x + 4xy = -36 + -4y3

Reorder the terms:
36 + -4x + 4xy + 4y3 = -36 + -4y3 + 36 + 4y3

Reorder the terms:
36 + -4x + 4xy + 4y3 = -36 + 36 + -4y3 + 4y3

Combine like terms: -36 + 36 = 0
36 + -4x + 4xy + 4y3 = 0 + -4y3 + 4y3
36 + -4x + 4xy + 4y3 = -4y3 + 4y3

Combine like terms: -4y3 + 4y3 = 0
36 + -4x + 4xy + 4y3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -1x + xy + y3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(9 + -1x + xy + y3)' equal to zero and attempt to solve: Simplifying 9 + -1x + xy + y3 = 0 Solving 9 + -1x + xy + y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1x + xy + -9 + y3 = 0 + -9 Reorder the terms: 9 + -9 + -1x + xy + y3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x + xy + y3 = 0 + -9 -1x + xy + y3 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x + xy + y3 = -9 Add '-1y3' to each side of the equation. -1x + xy + y3 + -1y3 = -9 + -1y3 Combine like terms: y3 + -1y3 = 0 -1x + xy + 0 = -9 + -1y3 -1x + xy = -9 + -1y3 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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