x=3x-9xz

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Solution for x=3x-9xz equation: 


Simplifying
x = 3x + -9xz

Solving
x = 3x + -9xz

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
x + -3x = 3x + -3x + -9xz

Combine like terms: x + -3x = -2x
-2x = 3x + -3x + -9xz

Combine like terms: 3x + -3x = 0
-2x = 0 + -9xz
-2x = -9xz

Add '9xz' to each side of the equation.
-2x + 9xz = -9xz + 9xz

Combine like terms: -9xz + 9xz = 0
-2x + 9xz = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 9z) = 0


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 '(-2 + 9z)' equal to zero and attempt to solve:

Simplifying
-2 + 9z = 0

Solving
-2 + 9z = 0

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

Add '2' to each side of the equation.
-2 + 2 + 9z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 9z = 0 + 2
9z = 0 + 2

Combine like terms: 0 + 2 = 2
9z = 2

Add '-9z' to each side of the equation.
9z + -9z = 2 + -9z

Combine like terms: 9z + -9z = 0
0 = 2 + -9z

Simplifying
0 = 2 + -9z

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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