V^2-V-6=0

Solution for V^2-V-6=0 equation:

Simplifying
V2 + -1V + -6 = 0

Reorder the terms:
-6 + -1V + V2 = 0

Solving
-6 + -1V + V2 = 0

Solving for variable 'V'.

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

Subproblem 1
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
Subproblem 2
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
Solution
V = {-2, 3}