7xy-3y^3+2x-3xy+y^3+10x=

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Solution for 7xy-3y^3+2x-3xy+y^3+10x= equation:


Simplifying
7xy + -3y3 + 2x + -3xy + y3 + 10x = 0

Reorder the terms:
2x + 10x + 7xy + -3xy + -3y3 + y3 = 0

Combine like terms: 2x + 10x = 12x
12x + 7xy + -3xy + -3y3 + y3 = 0

Combine like terms: 7xy + -3xy = 4xy
12x + 4xy + -3y3 + y3 = 0

Combine like terms: -3y3 + y3 = -2y3
12x + 4xy + -2y3 = 0

Solving
12x + 4xy + -2y3 = 0

Solving for variable 'x'.

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

Add '2y3' to each side of the equation.
12x + 4xy + -2y3 + 2y3 = 0 + 2y3

Combine like terms: -2y3 + 2y3 = 0
12x + 4xy + 0 = 0 + 2y3
12x + 4xy = 0 + 2y3
Remove the zero:
12x + 4xy = 2y3

Combine like terms: 2y3 + -2y3 = 0
12x + 4xy + -2y3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6x + 2xy + -1y3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(6x + 2xy + -1y3)' equal to zero and attempt to solve: Simplifying 6x + 2xy + -1y3 = 0 Solving 6x + 2xy + -1y3 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y3' to each side of the equation. 6x + 2xy + -1y3 + y3 = 0 + y3 Combine like terms: -1y3 + y3 = 0 6x + 2xy + 0 = 0 + y3 6x + 2xy = 0 + y3 Remove the zero: 6x + 2xy = y3 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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