13+2v^2=-15v

Solution for 13+2v^2=-15v equation:

Simplifying
13 + 2v2 = -15v

Solving
13 + 2v2 = -15v

Solving for variable 'v'.

Reorder the terms:
13 + 15v + 2v2 = -15v + 15v

Combine like terms: -15v + 15v = 0
13 + 15v + 2v2 = 0

Factor a trinomial.
(13 + 2v)(1 + v) = 0

Subproblem 1
Set the factor '(13 + 2v)' equal to zero and attempt to solve:

Simplifying
13 + 2v = 0

Solving
13 + 2v = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2v = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2v = 0 + -13
2v = 0 + -13

Combine like terms: 0 + -13 = -13
2v = -13

Divide each side by '2'.
v = -6.5

Simplifying
v = -6.5
Subproblem 2
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
Solution
v = {-6.5, -1}