159=16t^2+5t

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

Simplifying
159 = 16t2 + 5t

Reorder the terms:
159 = 5t + 16t2

Solving
159 = 5t + 16t2

Solving for variable 't'.

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

Combine like terms: 5t + -5t = 0
159 + -5t + -16t2 = 0 + 16t2 + -16t2
159 + -5t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
159 + -5t + -16t2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
t = {3, -3.3125}