(22x^2y-2xy)-(2x^2y+3xy^2)-(2xy-15xy^2)=

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Solution for (22x^2y-2xy)-(2x^2y+3xy^2)-(2xy-15xy^2)= equation: 


Simplifying
(22x2y + -2xy) + -1(2x2y + 3xy2) + -1(2xy + -15xy2) = 0

Reorder the terms:
(-2xy + 22x2y) + -1(2x2y + 3xy2) + -1(2xy + -15xy2) = 0

Remove parenthesis around (-2xy + 22x2y)
-2xy + 22x2y + -1(2x2y + 3xy2) + -1(2xy + -15xy2) = 0

Reorder the terms:
-2xy + 22x2y + -1(3xy2 + 2x2y) + -1(2xy + -15xy2) = 0
-2xy + 22x2y + (3xy2 * -1 + 2x2y * -1) + -1(2xy + -15xy2) = 0
-2xy + 22x2y + (-3xy2 + -2x2y) + -1(2xy + -15xy2) = 0
-2xy + 22x2y + -3xy2 + -2x2y + (2xy * -1 + -15xy2 * -1) = 0
-2xy + 22x2y + -3xy2 + -2x2y + (-2xy + 15xy2) = 0

Reorder the terms:
-2xy + -2xy + -3xy2 + 15xy2 + 22x2y + -2x2y = 0

Combine like terms: -2xy + -2xy = -4xy
-4xy + -3xy2 + 15xy2 + 22x2y + -2x2y = 0

Combine like terms: -3xy2 + 15xy2 = 12xy2
-4xy + 12xy2 + 22x2y + -2x2y = 0

Combine like terms: 22x2y + -2x2y = 20x2y
-4xy + 12xy2 + 20x2y = 0

Solving
-4xy + 12xy2 + 20x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4xy'.
4xy(-1 + 3y + 5x) = 0

Ignore the factor 4.

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 '(-1 + 3y + 5x)' equal to zero and attempt to solve:

Simplifying
-1 + 3y + 5x = 0

Reorder the terms:
-1 + 5x + 3y = 0

Solving
-1 + 5x + 3y = 0

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

Add '1' to each side of the equation.
-1 + 5x + 1 + 3y = 0 + 1

Reorder the terms:
-1 + 1 + 5x + 3y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x + 3y = 0 + 1
5x + 3y = 0 + 1

Combine like terms: 0 + 1 = 1
5x + 3y = 1

Add '-3y' to each side of the equation.
5x + 3y + -3y = 1 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 1 + -3y
5x = 1 + -3y

Divide each side by '5'.
x = 0.2 + -0.6y

Simplifying
x = 0.2 + -0.6y
Solution
x = {0.2 + -0.6y}

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