(6xy-3x)+(6x-9xy)=

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Solution for (6xy-3x)+(6x-9xy)= equation: 


Simplifying
(6xy + -3x) + (6x + -9xy) = 0

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

Remove parenthesis around (-3x + 6xy)
-3x + 6xy + (6x + -9xy) = 0

Remove parenthesis around (6x + -9xy)
-3x + 6xy + 6x + -9xy = 0

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

Combine like terms: -3x + 6x = 3x
3x + 6xy + -9xy = 0

Combine like terms: 6xy + -9xy = -3xy
3x + -3xy = 0

Solving
3x + -3xy = 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 + -1y) = 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 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

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

Combine like terms: -1y + y = 0
0 = -1 + y

Simplifying
0 = -1 + y

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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