12v^2+29v+15=

Solution for 12v^2+29v+15= equation:

Simplifying
12v2 + 29v + 15 = 0

Reorder the terms:
15 + 29v + 12v2 = 0

Solving
15 + 29v + 12v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + 3v)(3 + 4v) = 0

Subproblem 1
Set the factor '(5 + 3v)' equal to zero and attempt to solve:

Simplifying
5 + 3v = 0

Solving
5 + 3v = 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 + 3v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3v = 0 + -5
3v = 0 + -5

Combine like terms: 0 + -5 = -5
3v = -5

Divide each side by '3'.
v = -1.666666667

Simplifying
v = -1.666666667
Subproblem 2
Set the factor '(3 + 4v)' equal to zero and attempt to solve:

Simplifying
3 + 4v = 0

Solving
3 + 4v = 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 + 4v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4v = 0 + -3
4v = 0 + -3

Combine like terms: 0 + -3 = -3
4v = -3

Divide each side by '4'.
v = -0.75

Simplifying
v = -0.75
Solution
v = {-1.666666667, -0.75}