3t^2-16t+20=0

Solution for 3t^2-16t+20=0 equation:

Simplifying
3t2 + -16t + 20 = 0

Reorder the terms:
20 + -16t + 3t2 = 0

Solving
20 + -16t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(2 + -1t)(10 + -3t) = 0

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

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

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

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

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Subproblem 2
Set the factor '(10 + -3t)' equal to zero and attempt to solve:

Simplifying
10 + -3t = 0

Solving
10 + -3t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3t = 0 + -10
-3t = 0 + -10

Combine like terms: 0 + -10 = -10
-3t = -10

Divide each side by '-3'.
t = 3.333333333

Simplifying
t = 3.333333333
Solution
t = {2, 3.333333333}