48=-16t^2+104t

Solution for 48=-16t^2+104t equation:

Simplifying
48 = -16t2 + 104t

Reorder the terms:
48 = 104t + -16t2

Solving
48 = 104t + -16t2

Solving for variable 't'.

Reorder the terms:
48 + -104t + 16t2 = 104t + -104t + -16t2 + 16t2

Combine like terms: 104t + -104t = 0
48 + -104t + 16t2 = 0 + -16t2 + 16t2
48 + -104t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
48 + -104t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(6 + -13t + 2t2) = 0

Factor a trinomial.
8((1 + -2t)(6 + -1t)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + -2t)' equal to zero and attempt to solve:

Simplifying
1 + -2t = 0

Solving
1 + -2t = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2t = 0 + -1

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

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

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

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

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

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {0.5, 6}