3v^2+10v+9=0

Solution for 3v^2+10v+9=0 equation:

Simplifying
3v2 + 10v + 9 = 0

Reorder the terms:
9 + 10v + 3v2 = 0

Solving
9 + 10v + 3v2 = 0

Solving for variable 'v'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
3 + 3.333333333v + v2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 3.333333333v + -3 + v2 = 0 + -3

Reorder the terms:
3 + -3 + 3.333333333v + v2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 3.333333333v + v2 = 0 + -3
3.333333333v + v2 = 0 + -3

Combine like terms: 0 + -3 = -3
3.333333333v + v2 = -3

The v term is 3.333333333v.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333v + 2.777777779 + v2 = -3 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333v + v2 = -3 + 2.777777779

Combine like terms: -3 + 2.777777779 = -0.222222221
2.777777779 + 3.333333333v + v2 = -0.222222221

Factor a perfect square on the left side:
(v + 1.666666667)(v + 1.666666667) = -0.222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.