6+46t-16t^2=39

Solution for 6+46t-16t^2=39 equation:

Simplifying
6 + 46t + -16t2 = 39

Solving
6 + 46t + -16t2 = 39

Solving for variable 't'.

Reorder the terms:
6 + -39 + 46t + -16t2 = 39 + -39

Combine like terms: 6 + -39 = -33
-33 + 46t + -16t2 = 39 + -39

Combine like terms: 39 + -39 = 0
-33 + 46t + -16t2 = 0

Factor a trinomial.
(-3 + 2t)(11 + -8t) = 0

Subproblem 1
Set the factor '(-3 + 2t)' equal to zero and attempt to solve:

Simplifying
-3 + 2t = 0

Solving
-3 + 2t = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2t = 0 + 3
2t = 0 + 3

Combine like terms: 0 + 3 = 3
2t = 3

Divide each side by '2'.
t = 1.5

Simplifying
t = 1.5
Subproblem 2
Set the factor '(11 + -8t)' equal to zero and attempt to solve:

Simplifying
11 + -8t = 0

Solving
11 + -8t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -8t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -8t = 0 + -11
-8t = 0 + -11

Combine like terms: 0 + -11 = -11
-8t = -11

Divide each side by '-8'.
t = 1.375

Simplifying
t = 1.375
Solution
t = {1.5, 1.375}