3xy+6x-2xy+x=

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Solution for 3xy+6x-2xy+x= equation: 


Simplifying
3xy + 6x + -2xy + x = 0

Reorder the terms:
6x + x + 3xy + -2xy = 0

Combine like terms: 6x + x = 7x
7x + 3xy + -2xy = 0

Combine like terms: 3xy + -2xy = 1xy
7x + 1xy = 0

Solving
7x + 1xy = 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(7 + y) = 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 '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 0

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

Add '-7' to each side of the equation.
7 + -7 + y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Add '-1y' to each side of the equation.
y + -1y = -7 + -1y

Combine like terms: y + -1y = 0
0 = -7 + -1y

Simplifying
0 = -7 + -1y

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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