-16t^2+79t+5=0

Solution for -16t^2+79t+5=0 equation:

Simplifying
-16t2 + 79t + 5 = 0

Reorder the terms:
5 + 79t + -16t2 = 0

Solving
5 + 79t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(5 + -1t)(1 + 16t) = 0

Subproblem 1
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Subproblem 2
Set the factor '(1 + 16t)' equal to zero and attempt to solve:

Simplifying
1 + 16t = 0

Solving
1 + 16t = 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 + 16t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 16t = 0 + -1
16t = 0 + -1

Combine like terms: 0 + -1 = -1
16t = -1

Divide each side by '16'.
t = -0.0625

Simplifying
t = -0.0625
Solution
t = {5, -0.0625}