-8v^2-8v-2=0

Solution for -8v^2-8v-2=0 equation:

Simplifying
-8v2 + -8v + -2 = 0

Reorder the terms:
-2 + -8v + -8v2 = 0

Solving
-2 + -8v + -8v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 4v + 4v2) = 0

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

Ignore the factor -2.
Subproblem 1
Set the factor '(1 + 2v)' equal to zero and attempt to solve:

Simplifying
1 + 2v = 0

Solving
1 + 2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2v = 0 + -1
2v = 0 + -1

Combine like terms: 0 + -1 = -1
2v = -1

Divide each side by '2'.
v = -0.5

Simplifying
v = -0.5
Subproblem 2
Set the factor '(1 + 2v)' equal to zero and attempt to solve:

Simplifying
1 + 2v = 0

Solving
1 + 2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2v = 0 + -1
2v = 0 + -1

Combine like terms: 0 + -1 = -1
2v = -1

Divide each side by '2'.
v = -0.5

Simplifying
v = -0.5
Solution
v = {-0.5, -0.5}