-2xyz(xy+3yz)=0

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Solution for -2xyz(xy+3yz)=0 equation: 


Simplifying
-2xyz(xy + 3yz) = 0
(xy * -2xyz + 3yz * -2xyz) = 0

Reorder the terms:
(-6xy2z2 + -2x2y2z) = 0
(-6xy2z2 + -2x2y2z) = 0

Solving
-6xy2z2 + -2x2y2z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2xy2z'.
-2xy2z(3z + x) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'xy2z' equal to zero and attempt to solve:

Simplifying
xy2z = 0

Solving
xy2z = 0

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

Simplifying
xy2z = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3z + x)' equal to zero and attempt to solve:

Simplifying
3z + x = 0

Reorder the terms:
x + 3z = 0

Solving
x + 3z = 0

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

Add '-3z' to each side of the equation.
x + 3z + -3z = 0 + -3z

Combine like terms: 3z + -3z = 0
x + 0 = 0 + -3z
x = 0 + -3z
Remove the zero:
x = -3z

Simplifying
x = -3z
Solution
x = {-3z}

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