0=v^2+v-6

Solution for 0=v^2+v-6 equation:

Simplifying
0 = v2 + v + -6

Reorder the terms:
0 = -6 + v + v2

Solving
0 = -6 + v + v2

Solving for variable 'v'.

Combine like terms: 0 + 6 = 6
6 + -1v + -1v2 = -6 + v + v2 + 6 + -1v + -1v2

Reorder the terms:
6 + -1v + -1v2 = -6 + 6 + v + -1v + v2 + -1v2

Combine like terms: -6 + 6 = 0
6 + -1v + -1v2 = 0 + v + -1v + v2 + -1v2
6 + -1v + -1v2 = v + -1v + v2 + -1v2

Combine like terms: v + -1v = 0
6 + -1v + -1v2 = 0 + v2 + -1v2
6 + -1v + -1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
6 + -1v + -1v2 = 0

Factor a trinomial.
(2 + -1v)(3 + v) = 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 + v)' equal to zero and attempt to solve:

Simplifying
3 + v = 0

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

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

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

Simplifying
v = -3
Solution
v = {2, -3}