(4x^4y+6xy^3)-(6x^4y-xy^3)=

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


Simplifying
(4x4y + 6xy3) + -1(6x4y + -1xy3) = 0

Reorder the terms:
(6xy3 + 4x4y) + -1(6x4y + -1xy3) = 0

Remove parenthesis around (6xy3 + 4x4y)
6xy3 + 4x4y + -1(6x4y + -1xy3) = 0

Reorder the terms:
6xy3 + 4x4y + -1(-1xy3 + 6x4y) = 0
6xy3 + 4x4y + (-1xy3 * -1 + 6x4y * -1) = 0
6xy3 + 4x4y + (1xy3 + -6x4y) = 0

Reorder the terms:
6xy3 + 1xy3 + 4x4y + -6x4y = 0

Combine like terms: 6xy3 + 1xy3 = 7xy3
7xy3 + 4x4y + -6x4y = 0

Combine like terms: 4x4y + -6x4y = -2x4y
7xy3 + -2x4y = 0

Solving
7xy3 + -2x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(7y2 + -2x3) = 0


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 + -2x3)' equal to zero and attempt to solve:

Simplifying
7y2 + -2x3 = 0

Reorder the terms:
-2x3 + 7y2 = 0

Solving
-2x3 + 7y2 = 0

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

Add '-7y2' to each side of the equation.
-2x3 + 7y2 + -7y2 = 0 + -7y2

Combine like terms: 7y2 + -7y2 = 0
-2x3 + 0 = 0 + -7y2
-2x3 = 0 + -7y2
Remove the zero:
-2x3 = -7y2

Divide each side by '-2'.
x3 = 3.5y2

Simplifying
x3 = 3.5y2

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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