5v^2=-11v-2

Solution for 5v^2=-11v-2 equation:

Simplifying
5v2 = -11v + -2

Reorder the terms:
5v2 = -2 + -11v

Solving
5v2 = -2 + -11v

Solving for variable 'v'.

Reorder the terms:
2 + 11v + 5v2 = -2 + -11v + 2 + 11v

Reorder the terms:
2 + 11v + 5v2 = -2 + 2 + -11v + 11v

Combine like terms: -2 + 2 = 0
2 + 11v + 5v2 = 0 + -11v + 11v
2 + 11v + 5v2 = -11v + 11v

Combine like terms: -11v + 11v = 0
2 + 11v + 5v2 = 0

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

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 '(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 = {-2, -0.2}