6x^3y^3z+12x^2y^2z^3=

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Solution for 6x^3y^3z+12x^2y^2z^3= equation: 


Simplifying
6x3y3z + 12x2y2z3 = 0

Reorder the terms:
12x2y2z3 + 6x3y3z = 0

Solving
12x2y2z3 + 6x3y3z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2y2z'.
6x2y2z(2z2 + xy) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'x2y2z' equal to zero and attempt to solve:

Simplifying
x2y2z = 0

Solving
x2y2z = 0

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

Simplifying
x2y2z = 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 '(2z2 + xy)' equal to zero and attempt to solve:

Simplifying
2z2 + xy = 0

Reorder the terms:
xy + 2z2 = 0

Solving
xy + 2z2 = 0

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

Add '-2z2' to each side of the equation.
xy + 2z2 + -2z2 = 0 + -2z2

Combine like terms: 2z2 + -2z2 = 0
xy + 0 = 0 + -2z2
xy = 0 + -2z2
Remove the zero:
xy = -2z2

Divide each side by 'y'.
x = -2y-1z2

Simplifying
x = -2y-1z2
Solution
x = {-2y-1z2}

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