xy+2x=8forx

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Solution for xy+2x=8forx equation: 


Simplifying
xy + 2x = 8forx

Reorder the terms:
2x + xy = 8forx

Solving
2x + xy = 8forx

Solving for variable 'x'.

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

Add '-8forx' to each side of the equation.
2x + -8forx + xy = 8forx + -8forx

Reorder the terms:
-8forx + 2x + xy = 8forx + -8forx

Combine like terms: 8forx + -8forx = 0
-8forx + 2x + xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8for + 2 + 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 '(-8for + 2 + y)' equal to zero and attempt to solve:

Simplifying
-8for + 2 + y = 0

Reorder the terms:
2 + -8for + y = 0

Solving
2 + -8for + y = 0

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

Add '-2' to each side of the equation.
2 + -8for + -2 + y = 0 + -2

Reorder the terms:
2 + -2 + -8for + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -8for + y = 0 + -2
-8for + y = 0 + -2

Combine like terms: 0 + -2 = -2
-8for + y = -2

Add '8for' to each side of the equation.
-8for + 8for + y = -2 + 8for

Combine like terms: -8for + 8for = 0
0 + y = -2 + 8for
y = -2 + 8for

Add '-1y' to each side of the equation.
y + -1y = -2 + 8for + -1y

Combine like terms: y + -1y = 0
0 = -2 + 8for + -1y

Simplifying
0 = -2 + 8for + -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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