v^2+17v+16=0

Solution for v^2+17v+16=0 equation:

Simplifying
v2 + 17v + 16 = 0

Reorder the terms:
16 + 17v + v2 = 0

Solving
16 + 17v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(16 + v)(1 + v) = 0

Subproblem 1
Set the factor '(16 + v)' equal to zero and attempt to solve:

Simplifying
16 + v = 0

Solving
16 + v = 0

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

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

Combine like terms: 16 + -16 = 0
0 + v = 0 + -16
v = 0 + -16

Combine like terms: 0 + -16 = -16
v = -16

Simplifying
v = -16
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 = {-16, -1}