2v^2+11v+6=1

Solution for 2v^2+11v+6=1 equation:

Simplifying
2v2 + 11v + 6 = 1

Reorder the terms:
6 + 11v + 2v2 = 1

Solving
6 + 11v + 2v2 = 1

Solving for variable 'v'.

Reorder the terms:
6 + -1 + 11v + 2v2 = 1 + -1

Combine like terms: 6 + -1 = 5
5 + 11v + 2v2 = 1 + -1

Combine like terms: 1 + -1 = 0
5 + 11v + 2v2 = 0

Factor a trinomial.
(5 + v)(1 + 2v) = 0

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

Simplifying
5 + v = 0

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

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

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

Simplifying
v = -5
Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve:

Simplifying
1 + 2v = 0

Solving
1 + 2v = 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 + 2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2v = 0 + -1
2v = 0 + -1

Combine like terms: 0 + -1 = -1
2v = -1

Divide each side by '2'.
v = -0.5

Simplifying
v = -0.5
Solution
v = {-5, -0.5}