64v^2+48v+9=0

Solution for 64v^2+48v+9=0 equation:

Simplifying
64v2 + 48v + 9 = 0

Reorder the terms:
9 + 48v + 64v2 = 0

Solving
9 + 48v + 64v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + 8v)(3 + 8v) = 0

Subproblem 1
Set the factor '(3 + 8v)' equal to zero and attempt to solve:

Simplifying
3 + 8v = 0

Solving
3 + 8v = 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 + 8v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8v = 0 + -3
8v = 0 + -3

Combine like terms: 0 + -3 = -3
8v = -3

Divide each side by '8'.
v = -0.375

Simplifying
v = -0.375
Subproblem 2
Set the factor '(3 + 8v)' equal to zero and attempt to solve:

Simplifying
3 + 8v = 0

Solving
3 + 8v = 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 + 8v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8v = 0 + -3
8v = 0 + -3

Combine like terms: 0 + -3 = -3
8v = -3

Divide each side by '8'.
v = -0.375

Simplifying
v = -0.375
Solution
v = {-0.375, -0.375}