16s^2+24s=-9

Solution for 16s^2+24s=-9 equation:

Simplifying
16s2 + 24s = -9

Reorder the terms:
24s + 16s2 = -9

Solving
24s + 16s2 = -9

Solving for variable 's'.

Reorder the terms:
9 + 24s + 16s2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 24s + 16s2 = 0

Factor a trinomial.
(3 + 4s)(3 + 4s) = 0

Subproblem 1
Set the factor '(3 + 4s)' equal to zero and attempt to solve:

Simplifying
3 + 4s = 0

Solving
3 + 4s = 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 + 4s = 0 + -3

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

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

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

Simplifying
s = -0.75
Subproblem 2
Set the factor '(3 + 4s)' equal to zero and attempt to solve:

Simplifying
3 + 4s = 0

Solving
3 + 4s = 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 + 4s = 0 + -3

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

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

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

Simplifying
s = -0.75
Solution
s = {-0.75, -0.75}