9xy-6xz-3x=0

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Solution for 9xy-6xz-3x=0 equation: 


Simplifying
9xy + -6xz + -3x = 0

Reorder the terms:
-3x + 9xy + -6xz = 0

Solving
-3x + 9xy + -6xz = 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), '3x'.
3x(-1 + 3y + -2z) = 0

Ignore the factor 3.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1 + 3y + -2z)' equal to zero and attempt to solve:

Simplifying
-1 + 3y + -2z = 0

Solving
-1 + 3y + -2z = 0

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

Add '1' to each side of the equation.
-1 + 3y + 1 + -2z = 0 + 1

Reorder the terms:
-1 + 1 + 3y + -2z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3y + -2z = 0 + 1
3y + -2z = 0 + 1

Combine like terms: 0 + 1 = 1
3y + -2z = 1

Add '-3y' to each side of the equation.
3y + -3y + -2z = 1 + -3y

Combine like terms: 3y + -3y = 0
0 + -2z = 1 + -3y
-2z = 1 + -3y

Add '2z' to each side of the equation.
-2z + 2z = 1 + -3y + 2z

Combine like terms: -2z + 2z = 0
0 = 1 + -3y + 2z

Simplifying
0 = 1 + -3y + 2z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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