16s^2=60+68s

Solution for 16s^2=60+68s equation:

Simplifying
16s2 = 60 + 68s

Solving
16s2 = 60 + 68s

Solving for variable 's'.

Reorder the terms:
-60 + -68s + 16s2 = 60 + 68s + -60 + -68s

Reorder the terms:
-60 + -68s + 16s2 = 60 + -60 + 68s + -68s

Combine like terms: 60 + -60 = 0
-60 + -68s + 16s2 = 0 + 68s + -68s
-60 + -68s + 16s2 = 68s + -68s

Combine like terms: 68s + -68s = 0
-60 + -68s + 16s2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -17s + 4s2) = 0

Factor a trinomial.
4((-3 + -4s)(5 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-0.75, 5}