4s^2-32s+48=0

Solution for 4s^2-32s+48=0 equation:

Simplifying
4s2 + -32s + 48 = 0

Reorder the terms:
48 + -32s + 4s2 = 0

Solving
48 + -32s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + -8s + s2) = 0

Factor a trinomial.
4((2 + -1s)(6 + -1s)) = 0

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

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

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

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Subproblem 2
Set the factor '(6 + -1s)' equal to zero and attempt to solve:

Simplifying
6 + -1s = 0

Solving
6 + -1s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1s = 0 + -6
-1s = 0 + -6

Combine like terms: 0 + -6 = -6
-1s = -6

Divide each side by '-1'.
s = 6

Simplifying
s = 6
Solution
s = {2, 6}