0=5t^2-16t+3

Solution for 0=5t^2-16t+3 equation:

Simplifying
0 = 5t2 + -16t + 3

Reorder the terms:
0 = 3 + -16t + 5t2

Solving
0 = 3 + -16t + 5t2

Solving for variable 't'.

Combine like terms: 0 + -3 = -3
-3 + 16t + -5t2 = 3 + -16t + 5t2 + -3 + 16t + -5t2

Reorder the terms:
-3 + 16t + -5t2 = 3 + -3 + -16t + 16t + 5t2 + -5t2

Combine like terms: 3 + -3 = 0
-3 + 16t + -5t2 = 0 + -16t + 16t + 5t2 + -5t2
-3 + 16t + -5t2 = -16t + 16t + 5t2 + -5t2

Combine like terms: -16t + 16t = 0
-3 + 16t + -5t2 = 0 + 5t2 + -5t2
-3 + 16t + -5t2 = 5t2 + -5t2

Combine like terms: 5t2 + -5t2 = 0
-3 + 16t + -5t2 = 0

Factor a trinomial.
(-3 + t)(1 + -5t) = 0

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

Simplifying
-3 + t = 0

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

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

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

Simplifying
t = 3
Subproblem 2
Set the factor '(1 + -5t)' equal to zero and attempt to solve:

Simplifying
1 + -5t = 0

Solving
1 + -5t = 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 + -5t = 0 + -1

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

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

Divide each side by '-5'.
t = 0.2

Simplifying
t = 0.2
Solution
t = {3, 0.2}