2v^2-9v-11=0

Solution for 2v^2-9v-11=0 equation:

Simplifying
2v2 + -9v + -11 = 0

Reorder the terms:
-11 + -9v + 2v2 = 0

Solving
-11 + -9v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-1 + -1v)(11 + -2v) = 0

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

Simplifying
-1 + -1v = 0

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

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

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

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

Simplifying
v = -1
Subproblem 2
Set the factor '(11 + -2v)' equal to zero and attempt to solve:

Simplifying
11 + -2v = 0

Solving
11 + -2v = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2v = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2v = 0 + -11
-2v = 0 + -11

Combine like terms: 0 + -11 = -11
-2v = -11

Divide each side by '-2'.
v = 5.5

Simplifying
v = 5.5
Solution
v = {-1, 5.5}