3x^2yz(x^2-2y+3z^2)=0

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Solution for 3x^2yz(x^2-2y+3z^2)=0 equation: 


Simplifying
3x2yz(x2 + -2y + 3z2) = 0
(x2 * 3x2yz + -2y * 3x2yz + 3z2 * 3x2yz) = 0

Reorder the terms:
(9x2yz3 + -6x2y2z + 3x4yz) = 0
(9x2yz3 + -6x2y2z + 3x4yz) = 0

Solving
9x2yz3 + -6x2y2z + 3x4yz = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2yz'.
3x2yz(3z2 + -2y + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x2yz' equal to zero and attempt to solve:

Simplifying
x2yz = 0

Solving
x2yz = 0

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

Simplifying
x2yz = 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 '(3z2 + -2y + x2)' equal to zero and attempt to solve:

Simplifying
3z2 + -2y + x2 = 0

Reorder the terms:
x2 + -2y + 3z2 = 0

Solving
x2 + -2y + 3z2 = 0

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

Add '2y' to each side of the equation.
x2 + -2y + 2y + 3z2 = 0 + 2y

Combine like terms: -2y + 2y = 0
x2 + 0 + 3z2 = 0 + 2y
x2 + 3z2 = 0 + 2y
Remove the zero:
x2 + 3z2 = 2y

Add '-3z2' to each side of the equation.
x2 + 3z2 + -3z2 = 2y + -3z2

Combine like terms: 3z2 + -3z2 = 0
x2 + 0 = 2y + -3z2
x2 = 2y + -3z2

Simplifying
x2 = 2y + -3z2

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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