6v^2+37v+6=0

Solution for 6v^2+37v+6=0 equation:

Simplifying
6v2 + 37v + 6 = 0

Reorder the terms:
6 + 37v + 6v2 = 0

Solving
6 + 37v + 6v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(6 + v)(1 + 6v) = 0

Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

Add '-6' to each side of the equation.
6 + -6 + v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Subproblem 2
Set the factor '(1 + 6v)' equal to zero and attempt to solve:

Simplifying
1 + 6v = 0

Solving
1 + 6v = 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 + 6v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6v = 0 + -1
6v = 0 + -1

Combine like terms: 0 + -1 = -1
6v = -1

Divide each side by '6'.
v = -0.1666666667

Simplifying
v = -0.1666666667
Solution
v = {-6, -0.1666666667}