-6y(y+12)=0

Solution for -6y(y+12)=0 equation:

Simplifying
-6y(y + 12) = 0

Reorder the terms:
-6y(12 + y) = 0
(12 * -6y + y * -6y) = 0
(-72y + -6y2) = 0

Solving
-72y + -6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-6y'.
-6y(12 + y) = 0

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

Simplifying
12 + y = 0

Solving
12 + y = 0

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

Add '-12' to each side of the equation.
12 + -12 + y = 0 + -12

Combine like terms: 12 + -12 = 0
0 + y = 0 + -12
y = 0 + -12

Combine like terms: 0 + -12 = -12
y = -12

Simplifying
y = -12
Solution
y = {0, -12}