8s^2+22s-21=0

Solution for 8s^2+22s-21=0 equation:

Simplifying
8s2 + 22s + -21 = 0

Reorder the terms:
-21 + 22s + 8s2 = 0

Solving
-21 + 22s + 8s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -2s)(3 + -4s) = 0

Subproblem 1
Set the factor '(-7 + -2s)' equal to zero and attempt to solve:

Simplifying
-7 + -2s = 0

Solving
-7 + -2s = 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 + -2s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2s = 0 + 7
-2s = 0 + 7

Combine like terms: 0 + 7 = 7
-2s = 7

Divide each side by '-2'.
s = -3.5

Simplifying
s = -3.5
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 = {-3.5, 0.75}