4x(3xyz-4)-(4xyz-5x)=

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Solution for 4x(3xyz-4)-(4xyz-5x)= equation: 


Simplifying
4x(3xyz + -4) + -1(4xyz + -5x) = 0

Reorder the terms:
4x(-4 + 3xyz) + -1(4xyz + -5x) = 0
(-4 * 4x + 3xyz * 4x) + -1(4xyz + -5x) = 0
(-16x + 12x2yz) + -1(4xyz + -5x) = 0

Reorder the terms:
-16x + 12x2yz + -1(-5x + 4xyz) = 0
-16x + 12x2yz + (-5x * -1 + 4xyz * -1) = 0
-16x + 12x2yz + (5x + -4xyz) = 0

Reorder the terms:
-16x + 5x + -4xyz + 12x2yz = 0

Combine like terms: -16x + 5x = -11x
-11x + -4xyz + 12x2yz = 0

Solving
-11x + -4xyz + 12x2yz = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + -4yz + 12xyz) = 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 '(-11 + -4yz + 12xyz)' equal to zero and attempt to solve:

Simplifying
-11 + -4yz + 12xyz = 0

Reorder the terms:
-11 + 12xyz + -4yz = 0

Solving
-11 + 12xyz + -4yz = 0

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

Add '11' to each side of the equation.
-11 + 12xyz + 11 + -4yz = 0 + 11

Reorder the terms:
-11 + 11 + 12xyz + -4yz = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 12xyz + -4yz = 0 + 11
12xyz + -4yz = 0 + 11

Combine like terms: 0 + 11 = 11
12xyz + -4yz = 11

Add '4yz' to each side of the equation.
12xyz + -4yz + 4yz = 11 + 4yz

Combine like terms: -4yz + 4yz = 0
12xyz + 0 = 11 + 4yz
12xyz = 11 + 4yz

Divide each side by '12yz'.
x = 0.9166666667y-1z-1 + 0.3333333333

Simplifying
x = 0.9166666667y-1z-1 + 0.3333333333

Reorder the terms:
x = 0.3333333333 + 0.9166666667y-1z-1
Solution
x = {0, 0.3333333333 + 0.9166666667y-1z-1}

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