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

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


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

Reorder the terms:
3x(-3 + 4yz) + -1(3xyz + -4x) = 0
(-3 * 3x + 4yz * 3x) + -1(3xyz + -4x) = 0
(-9x + 12xyz) + -1(3xyz + -4x) = 0

Reorder the terms:
-9x + 12xyz + -1(-4x + 3xyz) = 0
-9x + 12xyz + (-4x * -1 + 3xyz * -1) = 0
-9x + 12xyz + (4x + -3xyz) = 0

Reorder the terms:
-9x + 4x + 12xyz + -3xyz = 0

Combine like terms: -9x + 4x = -5x
-5x + 12xyz + -3xyz = 0

Combine like terms: 12xyz + -3xyz = 9xyz
-5x + 9xyz = 0

Solving
-5x + 9xyz = 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(-5 + 9yz) = 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 '(-5 + 9yz)' equal to zero and attempt to solve:

Simplifying
-5 + 9yz = 0

Solving
-5 + 9yz = 0

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

Add '5' to each side of the equation.
-5 + 5 + 9yz = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 9yz = 0 + 5
9yz = 0 + 5

Combine like terms: 0 + 5 = 5
9yz = 5

Add '-9yz' to each side of the equation.
9yz + -9yz = 5 + -9yz

Combine like terms: 9yz + -9yz = 0
0 = 5 + -9yz

Simplifying
0 = 5 + -9yz

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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