v^2-2v-32=-8

Solution for v^2-2v-32=-8 equation:

Simplifying
v2 + -2v + -32 = -8

Reorder the terms:
-32 + -2v + v2 = -8

Solving
-32 + -2v + v2 = -8

Solving for variable 'v'.

Reorder the terms:
-32 + 8 + -2v + v2 = -8 + 8

Combine like terms: -32 + 8 = -24
-24 + -2v + v2 = -8 + 8

Combine like terms: -8 + 8 = 0
-24 + -2v + v2 = 0

Factor a trinomial.
(-4 + -1v)(6 + -1v) = 0

Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve:

Simplifying
-4 + -1v = 0

Solving
-4 + -1v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1v = 0 + 4
-1v = 0 + 4

Combine like terms: 0 + 4 = 4
-1v = 4

Divide each side by '-1'.
v = -4

Simplifying
v = -4
Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

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

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

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {-4, 6}