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

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


Simplifying
(3x2y3 + -1xy + 4y2) + -1(-2x2y3 + -3xy + 5y2) = 0

Reorder the terms:
(-1xy + 3x2y3 + 4y2) + -1(-2x2y3 + -3xy + 5y2) = 0

Remove parenthesis around (-1xy + 3x2y3 + 4y2)
-1xy + 3x2y3 + 4y2 + -1(-2x2y3 + -3xy + 5y2) = 0

Reorder the terms:
-1xy + 3x2y3 + 4y2 + -1(-3xy + -2x2y3 + 5y2) = 0
-1xy + 3x2y3 + 4y2 + (-3xy * -1 + -2x2y3 * -1 + 5y2 * -1) = 0
-1xy + 3x2y3 + 4y2 + (3xy + 2x2y3 + -5y2) = 0

Reorder the terms:
-1xy + 3xy + 3x2y3 + 2x2y3 + 4y2 + -5y2 = 0

Combine like terms: -1xy + 3xy = 2xy
2xy + 3x2y3 + 2x2y3 + 4y2 + -5y2 = 0

Combine like terms: 3x2y3 + 2x2y3 = 5x2y3
2xy + 5x2y3 + 4y2 + -5y2 = 0

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

Solving
2xy + 5x2y3 + -1y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(2x + 5x2y2 + -1y) = 0

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 + 5x2y2 + -1y)' equal to zero and attempt to solve: Simplifying 2x + 5x2y2 + -1y = 0 Solving 2x + 5x2y2 + -1y = 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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