-8v-3=5v^2

Solution for -8v-3=5v^2 equation:

Simplifying
-8v + -3 = 5v2

Reorder the terms:
-3 + -8v = 5v2

Solving
-3 + -8v = 5v2

Solving for variable 'v'.

Combine like terms: 5v2 + -5v2 = 0
-3 + -8v + -5v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 8v + 5v2) = 0

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

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

Simplifying
1 + v = 0

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

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

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

Simplifying
v = -1
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 = {-1, -0.6}