xy+2x=5x

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Solution for xy+2x=5x equation: 


Simplifying
xy + 2x = 5x

Reorder the terms:
2x + xy = 5x

Solving
2x + xy = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2x + -5x + xy = 5x + -5x

Combine like terms: 2x + -5x = -3x
-3x + xy = 5x + -5x

Combine like terms: 5x + -5x = 0
-3x + xy = 0

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

Simplifying
-3 + y = 0

Solving
-3 + y = 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 + y = 0 + 3

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

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

Add '-1y' to each side of the equation.
y + -1y = 3 + -1y

Combine like terms: y + -1y = 0
0 = 3 + -1y

Simplifying
0 = 3 + -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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