=6xy+7x+2x

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Solution for =6xy+7x+2x equation: 


Simplifying
0 = 6xy + 7x + 2x

Reorder the terms:
0 = 7x + 2x + 6xy

Combine like terms: 7x + 2x = 9x
0 = 9x + 6xy

Solving
0 = 9x + 6xy

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
0 + -9x = 9x + -9x + 6xy
Remove the zero:
-9x = 9x + -9x + 6xy

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

Add '-6xy' to each side of the equation.
-9x + -6xy = 6xy + -6xy

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

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(3 + 2y) = 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 '(3 + 2y)' equal to zero and attempt to solve:

Simplifying
3 + 2y = 0

Solving
3 + 2y = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = 0 + -3
2y = 0 + -3

Combine like terms: 0 + -3 = -3
2y = -3

Add '-2y' to each side of the equation.
2y + -2y = -3 + -2y

Combine like terms: 2y + -2y = 0
0 = -3 + -2y

Simplifying
0 = -3 + -2y

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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