v^2-16v-82=-2

Solution for v^2-16v-82=-2 equation:

Simplifying
v2 + -16v + -82 = -2

Reorder the terms:
-82 + -16v + v2 = -2

Solving
-82 + -16v + v2 = -2

Solving for variable 'v'.

Reorder the terms:
-82 + 2 + -16v + v2 = -2 + 2

Combine like terms: -82 + 2 = -80
-80 + -16v + v2 = -2 + 2

Combine like terms: -2 + 2 = 0
-80 + -16v + v2 = 0

Factor a trinomial.
(-4 + -1v)(20 + -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 '(20 + -1v)' equal to zero and attempt to solve:

Simplifying
20 + -1v = 0

Solving
20 + -1v = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1v = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1v = 0 + -20
-1v = 0 + -20

Combine like terms: 0 + -20 = -20
-1v = -20

Divide each side by '-1'.
v = 20

Simplifying
v = 20
Solution
v = {-4, 20}