3y^2=-18y

Solution for 3y^2=-18y equation:

Simplifying
3y2 = -18y

Solving
3y2 = -18y

Solving for variable 'y'.

Reorder the terms:
18y + 3y2 = -18y + 18y

Combine like terms: -18y + 18y = 0
18y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(6 + y) = 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 '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Solution
y = {0, -6}