2v^2+15v+27=0

Solution for 2v^2+15v+27=0 equation:

Simplifying
2v2 + 15v + 27 = 0

Reorder the terms:
27 + 15v + 2v2 = 0

Solving
27 + 15v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + 2v)(3 + v) = 0

Subproblem 1
Set the factor '(9 + 2v)' equal to zero and attempt to solve:

Simplifying
9 + 2v = 0

Solving
9 + 2v = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2v = 0 + -9
2v = 0 + -9

Combine like terms: 0 + -9 = -9
2v = -9

Divide each side by '2'.
v = -4.5

Simplifying
v = -4.5
Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve:

Simplifying
3 + v = 0

Solving
3 + v = 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 + v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + v = 0 + -3
v = 0 + -3

Combine like terms: 0 + -3 = -3
v = -3

Simplifying
v = -3
Solution
v = {-4.5, -3}