16t^2+5t-159=0

Solution for 16t^2+5t-159=0 equation:

Simplifying
16t2 + 5t + -159 = 0

Reorder the terms:
-159 + 5t + 16t2 = 0

Solving
-159 + 5t + 16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-53 + -16t)(3 + -1t) = 0

Subproblem 1
Set the factor '(-53 + -16t)' equal to zero and attempt to solve:

Simplifying
-53 + -16t = 0

Solving
-53 + -16t = 0

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

Add '53' to each side of the equation.
-53 + 53 + -16t = 0 + 53

Combine like terms: -53 + 53 = 0
0 + -16t = 0 + 53
-16t = 0 + 53

Combine like terms: 0 + 53 = 53
-16t = 53

Divide each side by '-16'.
t = -3.3125

Simplifying
t = -3.3125
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 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 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-3.3125, 3}