3v^2+8v=-5

Solution for 3v^2+8v=-5 equation:

Simplifying
3v2 + 8v = -5

Reorder the terms:
8v + 3v2 = -5

Solving
8v + 3v2 = -5

Solving for variable 'v'.

Reorder the terms:
5 + 8v + 3v2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 8v + 3v2 = 0

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

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

Simplifying
5 + 3v = 0

Solving
5 + 3v = 0

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

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

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

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

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

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

Simplifying
1 + v = 0

Solving
1 + v = 0

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

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

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

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

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