16s^2-38s+21=0

Solution for 16s^2-38s+21=0 equation:

Simplifying
16s2 + -38s + 21 = 0

Reorder the terms:
21 + -38s + 16s2 = 0

Solving
21 + -38s + 16s2 = 0

Solving for variable 's'.

Factor a trinomial.
(7 + -8s)(3 + -2s) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -2s)' equal to zero and attempt to solve:

Simplifying
3 + -2s = 0

Solving
3 + -2s = 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 + -2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2s = 0 + -3
-2s = 0 + -3

Combine like terms: 0 + -3 = -3
-2s = -3

Divide each side by '-2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {0.875, 1.5}