y(3y+8)=-5

Solution for y(3y+8)=-5 equation:

Simplifying
y(3y + 8) = -5

Reorder the terms:
y(8 + 3y) = -5
(8 * y + 3y * y) = -5
(8y + 3y2) = -5

Solving
8y + 3y2 = -5

Solving for variable 'y'.

Reorder the terms:
5 + 8y + 3y2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 8y + 3y2 = 0

Factor a trinomial.
(5 + 3y)(1 + y) = 0

Subproblem 1
Set the factor '(5 + 3y)' equal to zero and attempt to solve:

Simplifying
5 + 3y = 0

Solving
5 + 3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = 0 + -5
3y = 0 + -5

Combine like terms: 0 + -5 = -5
3y = -5

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667
Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

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

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

Simplifying
y = -1
Solution
y = {-1.666666667, -1}