x=3x+9xy

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Solution for x=3x+9xy equation: 


Simplifying
x = 3x + 9xy

Solving
x = 3x + 9xy

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 + 9xy

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(2 + 9y) = 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 '(2 + 9y)' equal to zero and attempt to solve:

Simplifying
2 + 9y = 0

Solving
2 + 9y = 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 + 9y = 0 + -2

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

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

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

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

Simplifying
0 = -2 + -9y

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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