-13v-6=5v^2

Solution for -13v-6=5v^2 equation:

Simplifying
-13v + -6 = 5v2

Reorder the terms:
-6 + -13v = 5v2

Solving
-6 + -13v = 5v2

Solving for variable 'v'.

Combine like terms: 5v2 + -5v2 = 0
-6 + -13v + -5v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 13v + 5v2) = 0

Factor a trinomial.
-1((2 + v)(3 + 5v)) = 0

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

Simplifying
2 + v = 0

Solving
2 + v = 0

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

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

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

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

Simplifying
v = -2
Subproblem 2
Set the factor '(3 + 5v)' equal to zero and attempt to solve:

Simplifying
3 + 5v = 0

Solving
3 + 5v = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5v = 0 + -3
5v = 0 + -3

Combine like terms: 0 + -3 = -3
5v = -3

Divide each side by '5'.
v = -0.6

Simplifying
v = -0.6
Solution
v = {-2, -0.6}