2x(3yz-4)-(3xyz-2x)=

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Solution for 2x(3yz-4)-(3xyz-2x)= equation: 


Simplifying
2x(3yz + -4) + -1(3xyz + -2x) = 0

Reorder the terms:
2x(-4 + 3yz) + -1(3xyz + -2x) = 0
(-4 * 2x + 3yz * 2x) + -1(3xyz + -2x) = 0
(-8x + 6xyz) + -1(3xyz + -2x) = 0

Reorder the terms:
-8x + 6xyz + -1(-2x + 3xyz) = 0
-8x + 6xyz + (-2x * -1 + 3xyz * -1) = 0
-8x + 6xyz + (2x + -3xyz) = 0

Reorder the terms:
-8x + 2x + 6xyz + -3xyz = 0

Combine like terms: -8x + 2x = -6x
-6x + 6xyz + -3xyz = 0

Combine like terms: 6xyz + -3xyz = 3xyz
-6x + 3xyz = 0

Solving
-6x + 3xyz = 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(-2 + yz) = 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 '(-2 + yz)' equal to zero and attempt to solve:

Simplifying
-2 + yz = 0

Solving
-2 + yz = 0

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

Add '2' to each side of the equation.
-2 + 2 + yz = 0 + 2

Combine like terms: -2 + 2 = 0
0 + yz = 0 + 2
yz = 0 + 2

Combine like terms: 0 + 2 = 2
yz = 2

Add '-1yz' to each side of the equation.
yz + -1yz = 2 + -1yz

Combine like terms: yz + -1yz = 0
0 = 2 + -1yz

Simplifying
0 = 2 + -1yz

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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