-3x(xy-2)=(3x-x)y

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Solution for -3x(xy-2)=(3x-x)y equation: 


Simplifying
-3x(xy + -2) = (3x + -1x) * y

Reorder the terms:
-3x(-2 + xy) = (3x + -1x) * y
(-2 * -3x + xy * -3x) = (3x + -1x) * y
(6x + -3x2y) = (3x + -1x) * y

Combine like terms: 3x + -1x = 2x
6x + -3x2y = (2x) * y

Remove parenthesis around (2x)
6x + -3x2y = 2x * y

Multiply x * y
6x + -3x2y = 2xy

Solving
6x + -3x2y = 2xy

Solving for variable 'x'.

Reorder the terms:
6x + -2xy + -3x2y = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
6x + -2xy + -3x2y = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -2y + -3xy) = 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 '(6 + -2y + -3xy)' equal to zero and attempt to solve:

Simplifying
6 + -2y + -3xy = 0

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

Solving
6 + -3xy + -2y = 0

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

Add '-6' to each side of the equation.
6 + -3xy + -6 + -2y = 0 + -6

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

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

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

Add '2y' to each side of the equation.
-3xy + -2y + 2y = -6 + 2y

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

Divide each side by '-3y'.
x = 2y-1 + -0.6666666667

Simplifying
x = 2y-1 + -0.6666666667

Reorder the terms:
x = -0.6666666667 + 2y-1
Solution
x = {0, -0.6666666667 + 2y-1}

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