-4v^2+11v+38=0

Solution for -4v^2+11v+38=0 equation:

Simplifying
-4v2 + 11v + 38 = 0

Reorder the terms:
38 + 11v + -4v2 = 0

Solving
38 + 11v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(19 + -4v)(2 + v) = 0

Subproblem 1
Set the factor '(19 + -4v)' equal to zero and attempt to solve:

Simplifying
19 + -4v = 0

Solving
19 + -4v = 0

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

Add '-19' to each side of the equation.
19 + -19 + -4v = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -4v = 0 + -19
-4v = 0 + -19

Combine like terms: 0 + -19 = -19
-4v = -19

Divide each side by '-4'.
v = 4.75

Simplifying
v = 4.75
Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve:

Simplifying
2 + v = 0

Solving
2 + v = 0

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

Add '-2' to each side of the equation.
2 + -2 + v = 0 + -2

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

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

Simplifying
v = -2
Solution
v = {4.75, -2}