6x^2y^3-12x^2y^2z=0

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Solution for 6x^2y^3-12x^2y^2z=0 equation:


Simplifying
6x2y3 + -12x2y2z = 0

Reorder the terms:
-12x2y2z + 6x2y3 = 0

Solving
-12x2y2z + 6x2y3 = 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), '6x2y2'.
6x2y2(-2z + y) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(-2z + y)' equal to zero and attempt to solve: Simplifying -2z + y = 0 Reorder the terms: y + -2z = 0 Solving y + -2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y + -2z = 0 + -1y Combine like terms: y + -1y = 0 0 + -2z = 0 + -1y -2z = 0 + -1y Remove the zero: -2z = -1y Add '2z' to each side of the equation. -2z + 2z = -1y + 2z Combine like terms: -2z + 2z = 0 0 = -1y + 2z Simplifying 0 = -1y + 2z 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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