3x(4yz-4)-(3yx-4x)=

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Solution for 3x(4yz-4)-(3yx-4x)= equation: 


Simplifying
3x(4yz + -4) + -1(3yx + -4x) = 0

Reorder the terms:
3x(-4 + 4yz) + -1(3yx + -4x) = 0
(-4 * 3x + 4yz * 3x) + -1(3yx + -4x) = 0
(-12x + 12xyz) + -1(3yx + -4x) = 0

Reorder the terms:
-12x + 12xyz + -1(-4x + 3xy) = 0
-12x + 12xyz + (-4x * -1 + 3xy * -1) = 0
-12x + 12xyz + (4x + -3xy) = 0

Reorder the terms:
-12x + 4x + -3xy + 12xyz = 0

Combine like terms: -12x + 4x = -8x
-8x + -3xy + 12xyz = 0

Solving
-8x + -3xy + 12xyz = 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), 'x'.
x(-8 + -3y + 12yz) = 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 '(-8 + -3y + 12yz)' equal to zero and attempt to solve:

Simplifying
-8 + -3y + 12yz = 0

Solving
-8 + -3y + 12yz = 0

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

Add '8' to each side of the equation.
-8 + -3y + 8 + 12yz = 0 + 8

Reorder the terms:
-8 + 8 + -3y + 12yz = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3y + 12yz = 0 + 8
-3y + 12yz = 0 + 8

Combine like terms: 0 + 8 = 8
-3y + 12yz = 8

Add '3y' to each side of the equation.
-3y + 3y + 12yz = 8 + 3y

Combine like terms: -3y + 3y = 0
0 + 12yz = 8 + 3y
12yz = 8 + 3y

Add '-12yz' to each side of the equation.
12yz + -12yz = 8 + 3y + -12yz

Combine like terms: 12yz + -12yz = 0
0 = 8 + 3y + -12yz

Simplifying
0 = 8 + 3y + -12yz

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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