3x(2y-4)-3x(y+4)=

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Solution for 3x(2y-4)-3x(y+4)= equation: 


Simplifying
3x(2y + -4) + -3x(y + 4) = 0

Reorder the terms:
3x(-4 + 2y) + -3x(y + 4) = 0
(-4 * 3x + 2y * 3x) + -3x(y + 4) = 0
(-12x + 6xy) + -3x(y + 4) = 0

Reorder the terms:
-12x + 6xy + -3x(4 + y) = 0
-12x + 6xy + (4 * -3x + y * -3x) = 0
-12x + 6xy + (-12x + -3xy) = 0

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

Combine like terms: -12x + -12x = -24x
-24x + 6xy + -3xy = 0

Combine like terms: 6xy + -3xy = 3xy
-24x + 3xy = 0

Solving
-24x + 3xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-8 + y) = 0

Ignore the factor 3.

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 '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

Solving
-8 + y = 0

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

Add '8' to each side of the equation.
-8 + 8 + y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + y = 0 + 8
y = 0 + 8

Combine like terms: 0 + 8 = 8
y = 8

Add '-1y' to each side of the equation.
y + -1y = 8 + -1y

Combine like terms: y + -1y = 0
0 = 8 + -1y

Simplifying
0 = 8 + -1y

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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