x(y+2)+2xy=

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


Simplifying
x(y + 2) + 2xy = 0

Reorder the terms:
x(2 + y) + 2xy = 0
(2 * x + y * x) + 2xy = 0
(2x + xy) + 2xy = 0

Combine like terms: xy + 2xy = 3xy
2x + 3xy = 0

Solving
2x + 3xy = 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(2 + 3y) = 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 '(2 + 3y)' equal to zero and attempt to solve:

Simplifying
2 + 3y = 0

Solving
2 + 3y = 0

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

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

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

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

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

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

Simplifying
0 = -2 + -3y

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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