(3x-9xy)-(2x+xy)=

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Solution for (3x-9xy)-(2x+xy)= equation: 


Simplifying
(3x + -9xy) + -1(2x + xy) = 0

Remove parenthesis around (3x + -9xy)
3x + -9xy + -1(2x + xy) = 0
3x + -9xy + (2x * -1 + xy * -1) = 0
3x + -9xy + (-2x + -1xy) = 0

Reorder the terms:
3x + -2x + -9xy + -1xy = 0

Combine like terms: 3x + -2x = 1x
1x + -9xy + -1xy = 0

Combine like terms: -9xy + -1xy = -10xy
1x + -10xy = 0

Solving
1x + -10xy = 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), 'x'.
x(1 + -10y) = 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 '(1 + -10y)' equal to zero and attempt to solve:

Simplifying
1 + -10y = 0

Solving
1 + -10y = 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 + -10y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10y = 0 + -1
-10y = 0 + -1

Combine like terms: 0 + -1 = -1
-10y = -1

Add '10y' to each side of the equation.
-10y + 10y = -1 + 10y

Combine like terms: -10y + 10y = 0
0 = -1 + 10y

Simplifying
0 = -1 + 10y

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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