-6v^2-5v-1=0

Solution for -6v^2-5v-1=0 equation:

Simplifying
-6v2 + -5v + -1 = 0

Reorder the terms:
-1 + -5v + -6v2 = 0

Solving
-1 + -5v + -6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 5v + 6v2) = 0

Factor a trinomial.
-1((1 + 2v)(1 + 3v)) = 0

Ignore the factor -1.
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 + 3v)' equal to zero and attempt to solve:

Simplifying
1 + 3v = 0

Solving
1 + 3v = 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 + 3v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3v = 0 + -1
3v = 0 + -1

Combine like terms: 0 + -1 = -1
3v = -1

Divide each side by '3'.
v = -0.3333333333

Simplifying
v = -0.3333333333
Solution
v = {-0.5, -0.3333333333}