=5x-6xy-2x+2xy

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Solution for =5x-6xy-2x+2xy equation: 


Simplifying
0 = 5x + -6xy + -2x + 2xy

Reorder the terms:
0 = 5x + -2x + -6xy + 2xy

Combine like terms: 5x + -2x = 3x
0 = 3x + -6xy + 2xy

Combine like terms: -6xy + 2xy = -4xy
0 = 3x + -4xy

Solving
0 = 3x + -4xy

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0 + -3x = 3x + -3x + -4xy
Remove the zero:
-3x = 3x + -3x + -4xy

Combine like terms: 3x + -3x = 0
-3x = 0 + -4xy
-3x = -4xy

Add '4xy' to each side of the equation.
-3x + 4xy = -4xy + 4xy

Combine like terms: -4xy + 4xy = 0
-3x + 4xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 4y) = 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 '(-3 + 4y)' equal to zero and attempt to solve:

Simplifying
-3 + 4y = 0

Solving
-3 + 4y = 0

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

Add '3' to each side of the equation.
-3 + 3 + 4y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 4y = 0 + 3
4y = 0 + 3

Combine like terms: 0 + 3 = 3
4y = 3

Add '-4y' to each side of the equation.
4y + -4y = 3 + -4y

Combine like terms: 4y + -4y = 0
0 = 3 + -4y

Simplifying
0 = 3 + -4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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