7v^2+15v+8=0

Solution for 7v^2+15v+8=0 equation:

Simplifying
7v2 + 15v + 8 = 0

Reorder the terms:
8 + 15v + 7v2 = 0

Solving
8 + 15v + 7v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(8 + 7v)(1 + v) = 0

Subproblem 1
Set the factor '(8 + 7v)' equal to zero and attempt to solve:

Simplifying
8 + 7v = 0

Solving
8 + 7v = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7v = 0 + -8
7v = 0 + -8

Combine like terms: 0 + -8 = -8
7v = -8

Divide each side by '7'.
v = -1.142857143

Simplifying
v = -1.142857143
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 = {-1.142857143, -1}