v^2-18v-86=2

Solution for v^2-18v-86=2 equation:

Simplifying
v2 + -18v + -86 = 2

Reorder the terms:
-86 + -18v + v2 = 2

Solving
-86 + -18v + v2 = 2

Solving for variable 'v'.

Reorder the terms:
-86 + -2 + -18v + v2 = 2 + -2

Combine like terms: -86 + -2 = -88
-88 + -18v + v2 = 2 + -2

Combine like terms: 2 + -2 = 0
-88 + -18v + v2 = 0

Factor a trinomial.
(-4 + -1v)(22 + -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 '(22 + -1v)' equal to zero and attempt to solve:

Simplifying
22 + -1v = 0

Solving
22 + -1v = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1v = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1v = 0 + -22
-1v = 0 + -22

Combine like terms: 0 + -22 = -22
-1v = -22

Divide each side by '-1'.
v = 22

Simplifying
v = 22
Solution
v = {-4, 22}