56x^4y^3-42x^2y^6=14x^2y^3

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Solution for 56x^4y^3-42x^2y^6=14x^2y^3 equation: 


Simplifying
56x4y3 + -42x2y6 = 14x2y3

Reorder the terms:
-42x2y6 + 56x4y3 = 14x2y3

Solving
-42x2y6 + 56x4y3 = 14x2y3

Solving for variable 'x'.

Reorder the terms:
-14x2y3 + -42x2y6 + 56x4y3 = 14x2y3 + -14x2y3

Combine like terms: 14x2y3 + -14x2y3 = 0
-14x2y3 + -42x2y6 + 56x4y3 = 0

Factor out the Greatest Common Factor (GCF), '14x2y3'.
14x2y3(-1 + -3y3 + 4x2) = 0

Ignore the factor 14.

Subproblem 1
Set the factor 'x2y3' equal to zero and attempt to solve:

Simplifying
x2y3 = 0

Solving
x2y3 = 0

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

Simplifying
x2y3 = 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 '(-1 + -3y3 + 4x2)' equal to zero and attempt to solve:

Simplifying
-1 + -3y3 + 4x2 = 0

Reorder the terms:
-1 + 4x2 + -3y3 = 0

Solving
-1 + 4x2 + -3y3 = 0

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

Add '1' to each side of the equation.
-1 + 4x2 + 1 + -3y3 = 0 + 1

Reorder the terms:
-1 + 1 + 4x2 + -3y3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4x2 + -3y3 = 0 + 1
4x2 + -3y3 = 0 + 1

Combine like terms: 0 + 1 = 1
4x2 + -3y3 = 1

Add '3y3' to each side of the equation.
4x2 + -3y3 + 3y3 = 1 + 3y3

Combine like terms: -3y3 + 3y3 = 0
4x2 + 0 = 1 + 3y3
4x2 = 1 + 3y3

Divide each side by '4'.
x2 = 0.25 + 0.75y3

Simplifying
x2 = 0.25 + 0.75y3

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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