30v^2+25v+36v+30=0

Solution for 30v^2+25v+36v+30=0 equation:

Simplifying
30v2 + 25v + 36v + 30 = 0

Reorder the terms:
30 + 25v + 36v + 30v2 = 0

Combine like terms: 25v + 36v = 61v
30 + 61v + 30v2 = 0

Solving
30 + 61v + 30v2 = 0

Solving for variable 'v'.

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

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

Simplifying
6 + 5v = 0

Solving
6 + 5v = 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 + 5v = 0 + -6

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

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

Divide each side by '5'.
v = -1.2

Simplifying
v = -1.2
Subproblem 2
Set the factor '(5 + 6v)' equal to zero and attempt to solve:

Simplifying
5 + 6v = 0

Solving
5 + 6v = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6v = 0 + -5

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

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

Divide each side by '6'.
v = -0.8333333333

Simplifying
v = -0.8333333333
Solution
v = {-1.2, -0.8333333333}