-4y^2=24y

Solution for -4y^2=24y equation:

Simplifying
-4y2 = 24y

Solving
-4y2 = 24y

Solving for variable 'y'.

Reorder the terms:
-24y + -4y2 = 24y + -24y

Combine like terms: 24y + -24y = 0
-24y + -4y2 = 0

Factor out the Greatest Common Factor (GCF), '-4y'.
-4y(6 + y) = 0

Ignore the factor -4.
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}