16t^2-18t+5=0

Solution for 16t^2-18t+5=0 equation:

Simplifying
16t2 + -18t + 5 = 0

Reorder the terms:
5 + -18t + 16t2 = 0

Solving
5 + -18t + 16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -2t)(5 + -8t) = 0

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

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = 0 + -1
-2t = 0 + -1

Combine like terms: 0 + -1 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Subproblem 2
Set the factor '(5 + -8t)' equal to zero and attempt to solve:

Simplifying
5 + -8t = 0

Solving
5 + -8t = 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 + -8t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8t = 0 + -5
-8t = 0 + -5

Combine like terms: 0 + -5 = -5
-8t = -5

Divide each side by '-8'.
t = 0.625

Simplifying
t = 0.625
Solution
t = {0.5, 0.625}