0=12x^3y+10x^2y^4-14xy^3

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Solution for 0=12x^3y+10x^2y^4-14xy^3 equation: 


Simplifying
0 = 12x3y + 10x2y4 + -14xy3

Reorder the terms:
0 = -14xy3 + 10x2y4 + 12x3y

Solving
0 = -14xy3 + 10x2y4 + 12x3y

Solving for variable 'x'.
Remove the zero:
14xy3 + -10x2y4 + -12x3y = -14xy3 + 10x2y4 + 12x3y + 14xy3 + -10x2y4 + -12x3y

Reorder the terms:
14xy3 + -10x2y4 + -12x3y = -14xy3 + 14xy3 + 10x2y4 + -10x2y4 + 12x3y + -12x3y

Combine like terms: -14xy3 + 14xy3 = 0
14xy3 + -10x2y4 + -12x3y = 0 + 10x2y4 + -10x2y4 + 12x3y + -12x3y
14xy3 + -10x2y4 + -12x3y = 10x2y4 + -10x2y4 + 12x3y + -12x3y

Combine like terms: 10x2y4 + -10x2y4 = 0
14xy3 + -10x2y4 + -12x3y = 0 + 12x3y + -12x3y
14xy3 + -10x2y4 + -12x3y = 12x3y + -12x3y

Combine like terms: 12x3y + -12x3y = 0
14xy3 + -10x2y4 + -12x3y = 0

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(7y2 + -5xy3 + -6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(7y2 + -5xy3 + -6x2)' equal to zero and attempt to solve:

Simplifying
7y2 + -5xy3 + -6x2 = 0

Reorder the terms:
-5xy3 + -6x2 + 7y2 = 0

Solving
-5xy3 + -6x2 + 7y2 = 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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