2x(y+5)+xy=

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Solution for 2x(y+5)+xy= equation: 


Simplifying
2x(y + 5) + xy = 0

Reorder the terms:
2x(5 + y) + xy = 0
(5 * 2x + y * 2x) + xy = 0
(10x + 2xy) + xy = 0

Combine like terms: 2xy + xy = 3xy
10x + 3xy = 0

Solving
10x + 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(10 + 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 '(10 + 3y)' equal to zero and attempt to solve:

Simplifying
10 + 3y = 0

Solving
10 + 3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 0 + -10
3y = 0 + -10

Combine like terms: 0 + -10 = -10
3y = -10

Add '-3y' to each side of the equation.
3y + -3y = -10 + -3y

Combine like terms: 3y + -3y = 0
0 = -10 + -3y

Simplifying
0 = -10 + -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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