-16t^2+49t-34=0

Solution for -16t^2+49t-34=0 equation:

Simplifying
-16t2 + 49t + -34 = 0

Reorder the terms:
-34 + 49t + -16t2 = 0

Solving
-34 + 49t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-2 + t)(17 + -16t) = 0

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

Simplifying
-2 + t = 0

Solving
-2 + t = 0

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

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

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

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

Simplifying
t = 2
Subproblem 2
Set the factor '(17 + -16t)' equal to zero and attempt to solve:

Simplifying
17 + -16t = 0

Solving
17 + -16t = 0

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

Add '-17' to each side of the equation.
17 + -17 + -16t = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -16t = 0 + -17
-16t = 0 + -17

Combine like terms: 0 + -17 = -17
-16t = -17

Divide each side by '-16'.
t = 1.0625

Simplifying
t = 1.0625
Solution
t = {2, 1.0625}