4xy-6x+6y^3=-132

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Solution for 4xy-6x+6y^3=-132 equation:


Simplifying
4xy + -6x + 6y3 = -132

Reorder the terms:
-6x + 4xy + 6y3 = -132

Solving
-6x + 4xy + 6y3 = -132

Solving for variable 'x'.

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

Add '-6y3' to each side of the equation.
-6x + 4xy + 6y3 + -6y3 = -132 + -6y3

Combine like terms: 6y3 + -6y3 = 0
-6x + 4xy + 0 = -132 + -6y3
-6x + 4xy = -132 + -6y3

Reorder the terms:
132 + -6x + 4xy + 6y3 = -132 + -6y3 + 132 + 6y3

Reorder the terms:
132 + -6x + 4xy + 6y3 = -132 + 132 + -6y3 + 6y3

Combine like terms: -132 + 132 = 0
132 + -6x + 4xy + 6y3 = 0 + -6y3 + 6y3
132 + -6x + 4xy + 6y3 = -6y3 + 6y3

Combine like terms: -6y3 + 6y3 = 0
132 + -6x + 4xy + 6y3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(66 + -3x + 2xy + 3y3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(66 + -3x + 2xy + 3y3)' equal to zero and attempt to solve: Simplifying 66 + -3x + 2xy + 3y3 = 0 Solving 66 + -3x + 2xy + 3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -3x + 2xy + -66 + 3y3 = 0 + -66 Reorder the terms: 66 + -66 + -3x + 2xy + 3y3 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -3x + 2xy + 3y3 = 0 + -66 -3x + 2xy + 3y3 = 0 + -66 Combine like terms: 0 + -66 = -66 -3x + 2xy + 3y3 = -66 Add '-3y3' to each side of the equation. -3x + 2xy + 3y3 + -3y3 = -66 + -3y3 Combine like terms: 3y3 + -3y3 = 0 -3x + 2xy + 0 = -66 + -3y3 -3x + 2xy = -66 + -3y3 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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