y^2+8y-384=0

Solution for y^2+8y-384=0 equation:

Simplifying
y2 + 8y + -384 = 0

Reorder the terms:
-384 + 8y + y2 = 0

Solving
-384 + 8y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-24 + -1y)(16 + -1y) = 0

Subproblem 1
Set the factor '(-24 + -1y)' equal to zero and attempt to solve:

Simplifying
-24 + -1y = 0

Solving
-24 + -1y = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1y = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1y = 0 + 24
-1y = 0 + 24

Combine like terms: 0 + 24 = 24
-1y = 24

Divide each side by '-1'.
y = -24

Simplifying
y = -24
Subproblem 2
Set the factor '(16 + -1y)' equal to zero and attempt to solve:

Simplifying
16 + -1y = 0

Solving
16 + -1y = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = 0 + -16
-1y = 0 + -16

Combine like terms: 0 + -16 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16
Solution
y = {-24, 16}