2v^2-7v-39=0

Solution for 2v^2-7v-39=0 equation:

Simplifying
2v2 + -7v + -39 = 0

Reorder the terms:
-39 + -7v + 2v2 = 0

Solving
-39 + -7v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(13 + -2v) = 0

Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve:

Simplifying
-3 + -1v = 0

Solving
-3 + -1v = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1v = 0 + 3
-1v = 0 + 3

Combine like terms: 0 + 3 = 3
-1v = 3

Divide each side by '-1'.
v = -3

Simplifying
v = -3
Subproblem 2
Set the factor '(13 + -2v)' equal to zero and attempt to solve:

Simplifying
13 + -2v = 0

Solving
13 + -2v = 0

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

Add '-13' to each side of the equation.
13 + -13 + -2v = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2v = 0 + -13
-2v = 0 + -13

Combine like terms: 0 + -13 = -13
-2v = -13

Divide each side by '-2'.
v = 6.5

Simplifying
v = 6.5
Solution
v = {-3, 6.5}