(3x^2-7xy+3xy^2)-(-5x^2+9xy+2xy^2)=

Solution for (3x^2-7xy+3xy^2)-(-5x^2+9xy+2xy^2)= equation:

Simplifying
(3x2 + -7xy + 3xy2) + -1(-5x2 + 9xy + 2xy2) = 0

Reorder the terms:
(-7xy + 3xy2 + 3x2) + -1(-5x2 + 9xy + 2xy2) = 0

Remove parenthesis around (-7xy + 3xy2 + 3x2)
-7xy + 3xy2 + 3x2 + -1(-5x2 + 9xy + 2xy2) = 0

Reorder the terms:
-7xy + 3xy2 + 3x2 + -1(9xy + 2xy2 + -5x2) = 0
-7xy + 3xy2 + 3x2 + (9xy * -1 + 2xy2 * -1 + -5x2 * -1) = 0
-7xy + 3xy2 + 3x2 + (-9xy + -2xy2 + 5x2) = 0

Reorder the terms:
-7xy + -9xy + 3xy2 + -2xy2 + 3x2 + 5x2 = 0

Combine like terms: -7xy + -9xy = -16xy
-16xy + 3xy2 + -2xy2 + 3x2 + 5x2 = 0

Combine like terms: 3xy2 + -2xy2 = 1xy2
-16xy + 1xy2 + 3x2 + 5x2 = 0

Combine like terms: 3x2 + 5x2 = 8x2
-16xy + 1xy2 + 8x2 = 0

Solving
-16xy + 1xy2 + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16y + y2 + 8x) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-16y + y2 + 8x)' equal to zero and attempt to solve:

Simplifying
-16y + y2 + 8x = 0

Reorder the terms:
8x + -16y + y2 = 0

Solving
8x + -16y + y2 = 0

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

Add '16y' to each side of the equation.
8x + -16y + 16y + y2 = 0 + 16y

Combine like terms: -16y + 16y = 0
8x + 0 + y2 = 0 + 16y
8x + y2 = 0 + 16y
Remove the zero:
8x + y2 = 16y

Add '-1y2' to each side of the equation.
8x + y2 + -1y2 = 16y + -1y2

Combine like terms: y2 + -1y2 = 0
8x + 0 = 16y + -1y2
8x = 16y + -1y2

Divide each side by '8'.
x = 2y + -0.125y2

Simplifying
x = 2y + -0.125y2
Solution
x = {0, 2y + -0.125y2}