16s^2-22s+7=0

Solution for 16s^2-22s+7=0 equation:

Simplifying
16s2 + -22s + 7 = 0

Reorder the terms:
7 + -22s + 16s2 = 0

Solving
7 + -22s + 16s2 = 0

Solving for variable 's'.

Factor a trinomial.
(1 + -2s)(7 + -8s) = 0

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

Simplifying
1 + -2s = 0

Solving
1 + -2s = 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 + -2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2s = 0 + -1
-2s = 0 + -1

Combine like terms: 0 + -1 = -1
-2s = -1

Divide each side by '-2'.
s = 0.5

Simplifying
s = 0.5
Subproblem 2
Set the factor '(7 + -8s)' equal to zero and attempt to solve:

Simplifying
7 + -8s = 0

Solving
7 + -8s = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8s = 0 + -7
-8s = 0 + -7

Combine like terms: 0 + -7 = -7
-8s = -7

Divide each side by '-8'.
s = 0.875

Simplifying
s = 0.875
Solution
s = {0.5, 0.875}