5y(3y+6)=0

Solution for 5y(3y+6)=0 equation:

Simplifying
5y(3y + 6) = 0

Reorder the terms:
5y(6 + 3y) = 0
(6 * 5y + 3y * 5y) = 0
(30y + 15y2) = 0

Solving
30y + 15y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '15y'.
15y(2 + y) = 0

Ignore the factor 15.
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 '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

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

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Solution
y = {0, -2}