(2v^2)-v-6=0

Solution for (2v^2)-v-6=0 equation:

Simplifying
(2v2) + -1v + -6 = 0

Reorder the terms:
-6 + -1v + (2v2) = 0

Solving
-6 + -1v + (2v2) = 0

Solving for variable 'v'.

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

Subproblem 1
Set the factor '(-3 + -2v)' equal to zero and attempt to solve:

Simplifying
-3 + -2v = 0

Solving
-3 + -2v = 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 + -2v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2v = 0 + 3
-2v = 0 + 3

Combine like terms: 0 + 3 = 3
-2v = 3

Divide each side by '-2'.
v = -1.5

Simplifying
v = -1.5
Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 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 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {-1.5, 2}