-5(2x+x)-3(-xy)=0

Solution for -5(2x+x)-3(-xy)=0 equation:

Simplifying
-5(2x + x) + -3(-1xy) = 0

Combine like terms: 2x + x = 3x
-5(3x) + -3(-1xy) = 0

Remove parenthesis around (3x)
-5 * 3x + -3(-1xy) = 0

Multiply -5 * 3
-15x + -3(-1xy) = 0

Remove parenthesis around (-1xy)
-15x + -3 * -1xy = 0

Multiply -3 * -1
-15x + 3xy = 0

Solving
-15x + 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), '3x'.
3x(-5 + y) = 0

Ignore the factor 3.
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 '(-5 + y)' equal to zero and attempt to solve:

Simplifying
-5 + y = 0

Solving
-5 + y = 0

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

Add '5' to each side of the equation.
-5 + 5 + y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + y = 0 + 5
y = 0 + 5

Combine like terms: 0 + 5 = 5
y = 5

Add '-1y' to each side of the equation.
y + -1y = 5 + -1y

Combine like terms: y + -1y = 0
0 = 5 + -1y

Simplifying
0 = 5 + -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}