5v^2+31v+8=2

Solution for 5v^2+31v+8=2 equation:

Simplifying
5v2 + 31v + 8 = 2

Reorder the terms:
8 + 31v + 5v2 = 2

Solving
8 + 31v + 5v2 = 2

Solving for variable 'v'.

Reorder the terms:
8 + -2 + 31v + 5v2 = 2 + -2

Combine like terms: 8 + -2 = 6
6 + 31v + 5v2 = 2 + -2

Combine like terms: 2 + -2 = 0
6 + 31v + 5v2 = 0

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

Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve:

Simplifying
6 + v = 0

Solving
6 + v = 0

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

Add '-6' to each side of the equation.
6 + -6 + v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + v = 0 + -6
v = 0 + -6

Combine like terms: 0 + -6 = -6
v = -6

Simplifying
v = -6
Subproblem 2
Set the factor '(1 + 5v)' equal to zero and attempt to solve:

Simplifying
1 + 5v = 0

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

Combine like terms: 1 + -1 = 0
0 + 5v = 0 + -1
5v = 0 + -1

Combine like terms: 0 + -1 = -1
5v = -1

Divide each side by '5'.
v = -0.2

Simplifying
v = -0.2
Solution
v = {-6, -0.2}