2x(3y+9)=0

Solution for 2x(3y+9)=0 equation:

Simplifying
2x(3y + 9) = 0

Reorder the terms:
2x(9 + 3y) = 0
(9 * 2x + 3y * 2x) = 0
(18x + 6xy) = 0

Solving
18x + 6xy = 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), '6x'.
6x(3 + y) = 0

Ignore the factor 6.
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 '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

Solving
3 + y = 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 + y = 0 + -3

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

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

Add '-1y' to each side of the equation.
y + -1y = -3 + -1y

Combine like terms: y + -1y = 0
0 = -3 + -1y

Simplifying
0 = -3 + -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}