X^2y-2xy-6xz+12z=0

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Solution for X^2y-2xy-6xz+12z=0 equation: 


Simplifying
X2y + -2xy + -6xz + 12z = 0

Reorder the terms:
-2xy + -6xz + yX2 + 12z = 0

Solving
-2xy + -6xz + yX2 + 12z = 0

Solving for variable 'x'.

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

Add '-1yX2' to each side of the equation.
-2xy + -6xz + yX2 + -1yX2 + 12z = 0 + -1yX2

Combine like terms: yX2 + -1yX2 = 0
-2xy + -6xz + 0 + 12z = 0 + -1yX2
-2xy + -6xz + 12z = 0 + -1yX2
Remove the zero:
-2xy + -6xz + 12z = -1yX2

Add '-12z' to each side of the equation.
-2xy + -6xz + 12z + -12z = -1yX2 + -12z

Combine like terms: 12z + -12z = 0
-2xy + -6xz + 0 = -1yX2 + -12z
-2xy + -6xz = -1yX2 + -12z

Reorder the terms:
-2xy + -6xz + yX2 + 12z = -1yX2 + yX2 + -12z + 12z

Combine like terms: -1yX2 + yX2 = 0
-2xy + -6xz + yX2 + 12z = 0 + -12z + 12z
-2xy + -6xz + yX2 + 12z = -12z + 12z

Combine like terms: -12z + 12z = 0
-2xy + -6xz + yX2 + 12z = 0

The solution to this equation could not be determined.

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