64s^2+48s+9=0

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

Simplifying
64s2 + 48s + 9 = 0

Reorder the terms:
9 + 48s + 64s2 = 0

Solving
9 + 48s + 64s2 = 0

Solving for variable 's'.

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

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

Simplifying
3 + 8s = 0

Solving
3 + 8s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8s = 0 + -3

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

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

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

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

Simplifying
3 + 8s = 0

Solving
3 + 8s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8s = 0 + -3

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

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

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

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