9v^2+37v+4=0

Solution for 9v^2+37v+4=0 equation:

Simplifying
9v2 + 37v + 4 = 0

Reorder the terms:
4 + 37v + 9v2 = 0

Solving
4 + 37v + 9v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(4 + v)(1 + 9v) = 0

Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve:

Simplifying
4 + v = 0

Solving
4 + v = 0

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

Add '-4' to each side of the equation.
4 + -4 + v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + v = 0 + -4
v = 0 + -4

Combine like terms: 0 + -4 = -4
v = -4

Simplifying
v = -4
Subproblem 2
Set the factor '(1 + 9v)' equal to zero and attempt to solve:

Simplifying
1 + 9v = 0

Solving
1 + 9v = 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 + 9v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9v = 0 + -1
9v = 0 + -1

Combine like terms: 0 + -1 = -1
9v = -1

Divide each side by '9'.
v = -0.1111111111

Simplifying
v = -0.1111111111
Solution
v = {-4, -0.1111111111}