x=2x+6xz

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Solution for x=2x+6xz equation: 


Simplifying
x = 2x + 6xz

Solving
x = 2x + 6xz

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
x + -2x = 2x + -2x + 6xz

Combine like terms: x + -2x = -1x
-1x = 2x + -2x + 6xz

Combine like terms: 2x + -2x = 0
-1x = 0 + 6xz
-1x = 6xz

Add '-6xz' to each side of the equation.
-1x + -6xz = 6xz + -6xz

Combine like terms: 6xz + -6xz = 0
-1x + -6xz = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 6z) = 0

Ignore the factor -1.

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 + 6z)' equal to zero and attempt to solve:

Simplifying
1 + 6z = 0

Solving
1 + 6z = 0

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

Add '-1' to each side of the equation.
1 + -1 + 6z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6z = 0 + -1
6z = 0 + -1

Combine like terms: 0 + -1 = -1
6z = -1

Add '-6z' to each side of the equation.
6z + -6z = -1 + -6z

Combine like terms: 6z + -6z = 0
0 = -1 + -6z

Simplifying
0 = -1 + -6z

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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