16s^2+100s+24=0

Solution for 16s^2+100s+24=0 equation:

Simplifying
16s2 + 100s + 24 = 0

Reorder the terms:
24 + 100s + 16s2 = 0

Solving
24 + 100s + 16s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 25s + 4s2) = 0

Factor a trinomial.
4((6 + s)(1 + 4s)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 0

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

Add '-6' to each side of the equation.
6 + -6 + s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + s = 0 + -6
s = 0 + -6

Combine like terms: 0 + -6 = -6
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(1 + 4s)' equal to zero and attempt to solve:

Simplifying
1 + 4s = 0

Solving
1 + 4s = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4s = 0 + -1
4s = 0 + -1

Combine like terms: 0 + -1 = -1
4s = -1

Divide each side by '4'.
s = -0.25

Simplifying
s = -0.25
Solution
s = {-6, -0.25}