3xyz+3x=0

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Solution for 3xyz+3x=0 equation: 


Simplifying
3xyz + 3x = 0

Reorder the terms:
3x + 3xyz = 0

Solving
3x + 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(1 + 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 '(1 + yz)' equal to zero and attempt to solve:

Simplifying
1 + yz = 0

Solving
1 + yz = 0

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

Add '-1' to each side of the equation.
1 + -1 + yz = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -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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