9s^2+100s+256=0

Solution for 9s^2+100s+256=0 equation:

Simplifying
9s2 + 100s + 256 = 0

Reorder the terms:
256 + 100s + 9s2 = 0

Solving
256 + 100s + 9s2 = 0

Solving for variable 's'.

Factor a trinomial.
(64 + 9s)(4 + s) = 0

Subproblem 1
Set the factor '(64 + 9s)' equal to zero and attempt to solve:

Simplifying
64 + 9s = 0

Solving
64 + 9s = 0

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

Add '-64' to each side of the equation.
64 + -64 + 9s = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 9s = 0 + -64
9s = 0 + -64

Combine like terms: 0 + -64 = -64
9s = -64

Divide each side by '9'.
s = -7.111111111

Simplifying
s = -7.111111111
Subproblem 2
Set the factor '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

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

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

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

Simplifying
s = -4
Solution
s = {-7.111111111, -4}