x(2+y)=6x

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Solution for x(2+y)=6x equation: 


Simplifying
x(2 + y) = 6x
(2 * x + y * x) = 6x
(2x + xy) = 6x

Solving
2x + xy = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2x + -6x + xy = 6x + -6x

Combine like terms: 2x + -6x = -4x
-4x + xy = 6x + -6x

Combine like terms: 6x + -6x = 0
-4x + xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 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 '(-4 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

Solving
-4 + y = 0

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

Add '4' to each side of the equation.
-4 + 4 + y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + y = 0 + 4
y = 0 + 4

Combine like terms: 0 + 4 = 4
y = 4

Add '-1y' to each side of the equation.
y + -1y = 4 + -1y

Combine like terms: y + -1y = 0
0 = 4 + -1y

Simplifying
0 = 4 + -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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