(2x^2y^3-xy+y^2)-(-4x^2y^3-5xy-y^2)=

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Solution for (2x^2y^3-xy+y^2)-(-4x^2y^3-5xy-y^2)= equation: 


Simplifying
(2x2y3 + -1xy + y2) + -1(-4x2y3 + -5xy + -1y2) = 0

Reorder the terms:
(-1xy + 2x2y3 + y2) + -1(-4x2y3 + -5xy + -1y2) = 0

Remove parenthesis around (-1xy + 2x2y3 + y2)
-1xy + 2x2y3 + y2 + -1(-4x2y3 + -5xy + -1y2) = 0

Reorder the terms:
-1xy + 2x2y3 + y2 + -1(-5xy + -4x2y3 + -1y2) = 0
-1xy + 2x2y3 + y2 + (-5xy * -1 + -4x2y3 * -1 + -1y2 * -1) = 0
-1xy + 2x2y3 + y2 + (5xy + 4x2y3 + 1y2) = 0

Reorder the terms:
-1xy + 5xy + 2x2y3 + 4x2y3 + y2 + 1y2 = 0

Combine like terms: -1xy + 5xy = 4xy
4xy + 2x2y3 + 4x2y3 + y2 + 1y2 = 0

Combine like terms: 2x2y3 + 4x2y3 = 6x2y3
4xy + 6x2y3 + y2 + 1y2 = 0

Combine like terms: y2 + 1y2 = 2y2
4xy + 6x2y3 + 2y2 = 0

Solving
4xy + 6x2y3 + 2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(2x + 3x2y2 + y) = 0

Ignore the factor 2.

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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(2x + 3x2y2 + y)' equal to zero and attempt to solve:

Simplifying
2x + 3x2y2 + y = 0

Solving
2x + 3x2y2 + y = 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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