38t-5t^2-48=0

Solution for 38t-5t^2-48=0 equation:

Simplifying
38t + -5t2 + -48 = 0

Reorder the terms:
-48 + 38t + -5t2 = 0

Solving
-48 + 38t + -5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + t)(8 + -5t) = 0

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

Simplifying
-6 + t = 0

Solving
-6 + t = 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 + t = 0 + 6

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

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

Simplifying
t = 6
Subproblem 2
Set the factor '(8 + -5t)' equal to zero and attempt to solve:

Simplifying
8 + -5t = 0

Solving
8 + -5t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5t = 0 + -8
-5t = 0 + -8

Combine like terms: 0 + -8 = -8
-5t = -8

Divide each side by '-5'.
t = 1.6

Simplifying
t = 1.6
Solution
t = {6, 1.6}