=3xy(3+x)

Solution for =3xy(3+x) equation:

Simplifying
0 = 3xy(3 + x)
0 = (3 * 3xy + x * 3xy)
0 = (9xy + 3x2y)

Solving
0 = 9xy + 3x2y

Solving for variable 'x'.
Remove the zero:
-9xy + -3x2y = 9xy + 3x2y + -9xy + -3x2y

Reorder the terms:
-9xy + -3x2y = 9xy + -9xy + 3x2y + -3x2y

Combine like terms: 9xy + -9xy = 0
-9xy + -3x2y = 0 + 3x2y + -3x2y
-9xy + -3x2y = 3x2y + -3x2y

Combine like terms: 3x2y + -3x2y = 0
-9xy + -3x2y = 0

Factor out the Greatest Common Factor (GCF), '-3xy'.
-3xy(3 + x) = 0

Ignore the factor -3.
Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {-3}