(x^4y^2+4xy^3)-(3x^4y^2-3xy^3)=

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Solution for (x^4y^2+4xy^3)-(3x^4y^2-3xy^3)= equation: 


Simplifying
(x4y2 + 4xy3) + -1(3x4y2 + -3xy3) = 0

Reorder the terms:
(4xy3 + x4y2) + -1(3x4y2 + -3xy3) = 0

Remove parenthesis around (4xy3 + x4y2)
4xy3 + x4y2 + -1(3x4y2 + -3xy3) = 0

Reorder the terms:
4xy3 + x4y2 + -1(-3xy3 + 3x4y2) = 0
4xy3 + x4y2 + (-3xy3 * -1 + 3x4y2 * -1) = 0
4xy3 + x4y2 + (3xy3 + -3x4y2) = 0

Reorder the terms:
4xy3 + 3xy3 + x4y2 + -3x4y2 = 0

Combine like terms: 4xy3 + 3xy3 = 7xy3
7xy3 + x4y2 + -3x4y2 = 0

Combine like terms: x4y2 + -3x4y2 = -2x4y2
7xy3 + -2x4y2 = 0

Solving
7xy3 + -2x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy2'.
xy2(7y + -2x3) = 0


Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 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 '(7y + -2x3)' equal to zero and attempt to solve:

Simplifying
7y + -2x3 = 0

Reorder the terms:
-2x3 + 7y = 0

Solving
-2x3 + 7y = 0

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

Add '-7y' to each side of the equation.
-2x3 + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
-2x3 + 0 = 0 + -7y
-2x3 = 0 + -7y
Remove the zero:
-2x3 = -7y

Divide each side by '-2'.
x3 = 3.5y

Simplifying
x3 = 3.5y

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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