3y(3+2z)=

Solution for 3y(3+2z)= equation:

Simplifying
3y(3 + 2z) = 0
(3 * 3y + 2z * 3y) = 0
(9y + 6yz) = 0

Solving
9y + 6yz = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), '3y'.
3y(3 + 2z) = 0

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(3 + 2z)' equal to zero and attempt to solve:

Simplifying
3 + 2z = 0

Solving
3 + 2z = 0

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

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

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

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

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

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

Simplifying
0 = -3 + -2z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}