0=2x-3(x-xy)+6(x-2xy)

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Solution for 0=2x-3(x-xy)+6(x-2xy) equation: 


Simplifying
0 = 2x + -3(x + -1xy) + 6(x + -2xy)
0 = 2x + (x * -3 + -1xy * -3) + 6(x + -2xy)
0 = 2x + (-3x + 3xy) + 6(x + -2xy)
0 = 2x + -3x + 3xy + (x * 6 + -2xy * 6)
0 = 2x + -3x + 3xy + (6x + -12xy)

Reorder the terms:
0 = 2x + -3x + 6x + 3xy + -12xy

Combine like terms: 2x + -3x = -1x
0 = -1x + 6x + 3xy + -12xy

Combine like terms: -1x + 6x = 5x
0 = 5x + 3xy + -12xy

Combine like terms: 3xy + -12xy = -9xy
0 = 5x + -9xy

Solving
0 = 5x + -9xy

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
0 + -5x = 5x + -5x + -9xy
Remove the zero:
-5x = 5x + -5x + -9xy

Combine like terms: 5x + -5x = 0
-5x = 0 + -9xy
-5x = -9xy

Add '9xy' to each side of the equation.
-5x + 9xy = -9xy + 9xy

Combine like terms: -9xy + 9xy = 0
-5x + 9xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 9y) = 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 '(-5 + 9y)' equal to zero and attempt to solve:

Simplifying
-5 + 9y = 0

Solving
-5 + 9y = 0

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

Add '5' to each side of the equation.
-5 + 5 + 9y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 9y = 0 + 5
9y = 0 + 5

Combine like terms: 0 + 5 = 5
9y = 5

Add '-9y' to each side of the equation.
9y + -9y = 5 + -9y

Combine like terms: 9y + -9y = 0
0 = 5 + -9y

Simplifying
0 = 5 + -9y

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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