12xy-6x(x-2y)=

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Solution for 12xy-6x(x-2y)= equation: 


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

Reorder the terms:
12xy + (12xy + -6x2) = 0
12xy + (12xy + -6x2) = 0

Combine like terms: 12xy + 12xy = 24xy
24xy + -6x2 = 0

Solving
24xy + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(4y + -1x) = 0

Ignore the factor 6.

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 '(4y + -1x)' equal to zero and attempt to solve:

Simplifying
4y + -1x = 0

Reorder the terms:
-1x + 4y = 0

Solving
-1x + 4y = 0

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

Add '-4y' to each side of the equation.
-1x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-1x + 0 = 0 + -4y
-1x = 0 + -4y
Remove the zero:
-1x = -4y

Divide each side by '-1'.
x = 4y

Simplifying
x = 4y
Solution
x = {0, 4y}

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