0=-8t^2+14t+39

Solution for 0=-8t^2+14t+39 equation:

Simplifying
0 = -8t2 + 14t + 39

Reorder the terms:
0 = 39 + 14t + -8t2

Solving
0 = 39 + 14t + -8t2

Solving for variable 't'.

Combine like terms: 0 + -39 = -39
-39 + -14t + 8t2 = 39 + 14t + -8t2 + -39 + -14t + 8t2

Reorder the terms:
-39 + -14t + 8t2 = 39 + -39 + 14t + -14t + -8t2 + 8t2

Combine like terms: 39 + -39 = 0
-39 + -14t + 8t2 = 0 + 14t + -14t + -8t2 + 8t2
-39 + -14t + 8t2 = 14t + -14t + -8t2 + 8t2

Combine like terms: 14t + -14t = 0
-39 + -14t + 8t2 = 0 + -8t2 + 8t2
-39 + -14t + 8t2 = -8t2 + 8t2

Combine like terms: -8t2 + 8t2 = 0
-39 + -14t + 8t2 = 0

Factor a trinomial.
(-3 + -2t)(13 + -4t) = 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 '(13 + -4t)' equal to zero and attempt to solve:

Simplifying
13 + -4t = 0

Solving
13 + -4t = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4t = 0 + -13
-4t = 0 + -13

Combine like terms: 0 + -13 = -13
-4t = -13

Divide each side by '-4'.
t = 3.25

Simplifying
t = 3.25
Solution
t = {-1.5, 3.25}