2v^2+11v+15=0

Solution for 2v^2+11v+15=0 equation:

Simplifying
2v2 + 11v + 15 = 0

Reorder the terms:
15 + 11v + 2v2 = 0

Solving
15 + 11v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + v)(5 + 2v) = 0

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

Simplifying
3 + v = 0

Solving
3 + v = 0

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

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

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

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

Simplifying
v = -3
Subproblem 2
Set the factor '(5 + 2v)' equal to zero and attempt to solve:

Simplifying
5 + 2v = 0

Solving
5 + 2v = 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 + 2v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2v = 0 + -5
2v = 0 + -5

Combine like terms: 0 + -5 = -5
2v = -5

Divide each side by '2'.
v = -2.5

Simplifying
v = -2.5
Solution
v = {-3, -2.5}