(6x^2y+10xy^2+5xy)-(x^2y-3xy^2-3xy)=

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Solution for (6x^2y+10xy^2+5xy)-(x^2y-3xy^2-3xy)= equation: 


Simplifying
(6x2y + 10xy2 + 5xy) + -1(x2y + -3xy2 + -3xy) = 0

Reorder the terms:
(5xy + 10xy2 + 6x2y) + -1(x2y + -3xy2 + -3xy) = 0

Remove parenthesis around (5xy + 10xy2 + 6x2y)
5xy + 10xy2 + 6x2y + -1(x2y + -3xy2 + -3xy) = 0

Reorder the terms:
5xy + 10xy2 + 6x2y + -1(-3xy + -3xy2 + x2y) = 0
5xy + 10xy2 + 6x2y + (-3xy * -1 + -3xy2 * -1 + x2y * -1) = 0
5xy + 10xy2 + 6x2y + (3xy + 3xy2 + -1x2y) = 0

Reorder the terms:
5xy + 3xy + 10xy2 + 3xy2 + 6x2y + -1x2y = 0

Combine like terms: 5xy + 3xy = 8xy
8xy + 10xy2 + 3xy2 + 6x2y + -1x2y = 0

Combine like terms: 10xy2 + 3xy2 = 13xy2
8xy + 13xy2 + 6x2y + -1x2y = 0

Combine like terms: 6x2y + -1x2y = 5x2y
8xy + 13xy2 + 5x2y = 0

Solving
8xy + 13xy2 + 5x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(8 + 13y + 5x) = 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 '(8 + 13y + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 13y + 5x = 0

Reorder the terms:
8 + 5x + 13y = 0

Solving
8 + 5x + 13y = 0

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

Add '-8' to each side of the equation.
8 + 5x + -8 + 13y = 0 + -8

Reorder the terms:
8 + -8 + 5x + 13y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x + 13y = 0 + -8
5x + 13y = 0 + -8

Combine like terms: 0 + -8 = -8
5x + 13y = -8

Add '-13y' to each side of the equation.
5x + 13y + -13y = -8 + -13y

Combine like terms: 13y + -13y = 0
5x + 0 = -8 + -13y
5x = -8 + -13y

Divide each side by '5'.
x = -1.6 + -2.6y

Simplifying
x = -1.6 + -2.6y
Solution
x = {-1.6 + -2.6y}

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