(-3y^2)-12y=0

Solution for (-3y^2)-12y=0 equation:

Simplifying
(-3y2) + -12y = 0

Reorder the terms:
-12y + (-3y2) = 0

Solving
-12y + (-3y2) = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-3y'.
-3y(4 + 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 '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Simplifying
y = -4
Solution
y = {0, -4}