4x(3yz-4)-(7xyz-2x)=

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Solution for 4x(3yz-4)-(7xyz-2x)= equation: 


Simplifying
4x(3yz + -4) + -1(7xyz + -2x) = 0

Reorder the terms:
4x(-4 + 3yz) + -1(7xyz + -2x) = 0
(-4 * 4x + 3yz * 4x) + -1(7xyz + -2x) = 0
(-16x + 12xyz) + -1(7xyz + -2x) = 0

Reorder the terms:
-16x + 12xyz + -1(-2x + 7xyz) = 0
-16x + 12xyz + (-2x * -1 + 7xyz * -1) = 0
-16x + 12xyz + (2x + -7xyz) = 0

Reorder the terms:
-16x + 2x + 12xyz + -7xyz = 0

Combine like terms: -16x + 2x = -14x
-14x + 12xyz + -7xyz = 0

Combine like terms: 12xyz + -7xyz = 5xyz
-14x + 5xyz = 0

Solving
-14x + 5xyz = 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(-14 + 5yz) = 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 '(-14 + 5yz)' equal to zero and attempt to solve:

Simplifying
-14 + 5yz = 0

Solving
-14 + 5yz = 0

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

Add '14' to each side of the equation.
-14 + 14 + 5yz = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5yz = 0 + 14
5yz = 0 + 14

Combine like terms: 0 + 14 = 14
5yz = 14

Add '-5yz' to each side of the equation.
5yz + -5yz = 14 + -5yz

Combine like terms: 5yz + -5yz = 0
0 = 14 + -5yz

Simplifying
0 = 14 + -5yz

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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