(10x^2y+6xy^2+xy)-(5x^2y-4xy^2-3xy)=

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Solution for (10x^2y+6xy^2+xy)-(5x^2y-4xy^2-3xy)= equation: 


Simplifying
(10x2y + 6xy2 + xy) + -1(5x2y + -4xy2 + -3xy) = 0

Reorder the terms:
(xy + 6xy2 + 10x2y) + -1(5x2y + -4xy2 + -3xy) = 0

Remove parenthesis around (xy + 6xy2 + 10x2y)
xy + 6xy2 + 10x2y + -1(5x2y + -4xy2 + -3xy) = 0

Reorder the terms:
xy + 6xy2 + 10x2y + -1(-3xy + -4xy2 + 5x2y) = 0
xy + 6xy2 + 10x2y + (-3xy * -1 + -4xy2 * -1 + 5x2y * -1) = 0
xy + 6xy2 + 10x2y + (3xy + 4xy2 + -5x2y) = 0

Reorder the terms:
xy + 3xy + 6xy2 + 4xy2 + 10x2y + -5x2y = 0

Combine like terms: xy + 3xy = 4xy
4xy + 6xy2 + 4xy2 + 10x2y + -5x2y = 0

Combine like terms: 6xy2 + 4xy2 = 10xy2
4xy + 10xy2 + 10x2y + -5x2y = 0

Combine like terms: 10x2y + -5x2y = 5x2y
4xy + 10xy2 + 5x2y = 0

Solving
4xy + 10xy2 + 5x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(4 + 10y + 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 '(4 + 10y + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 10y + 5x = 0

Reorder the terms:
4 + 5x + 10y = 0

Solving
4 + 5x + 10y = 0

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

Add '-4' to each side of the equation.
4 + 5x + -4 + 10y = 0 + -4

Reorder the terms:
4 + -4 + 5x + 10y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x + 10y = 0 + -4
5x + 10y = 0 + -4

Combine like terms: 0 + -4 = -4
5x + 10y = -4

Add '-10y' to each side of the equation.
5x + 10y + -10y = -4 + -10y

Combine like terms: 10y + -10y = 0
5x + 0 = -4 + -10y
5x = -4 + -10y

Divide each side by '5'.
x = -0.8 + -2y

Simplifying
x = -0.8 + -2y
Solution
x = {-0.8 + -2y}

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