3t^2-44t+121=0

Solution for 3t^2-44t+121=0 equation:

Simplifying
3t2 + -44t + 121 = 0

Reorder the terms:
121 + -44t + 3t2 = 0

Solving
121 + -44t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(11 + -3t)(11 + -1t) = 0

Subproblem 1
Set the factor '(11 + -3t)' equal to zero and attempt to solve:

Simplifying
11 + -3t = 0

Solving
11 + -3t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -3t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3t = 0 + -11
-3t = 0 + -11

Combine like terms: 0 + -11 = -11
-3t = -11

Divide each side by '-3'.
t = 3.666666667

Simplifying
t = 3.666666667
Subproblem 2
Set the factor '(11 + -1t)' equal to zero and attempt to solve:

Simplifying
11 + -1t = 0

Solving
11 + -1t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1t = 0 + -11
-1t = 0 + -11

Combine like terms: 0 + -11 = -11
-1t = -11

Divide each side by '-1'.
t = 11

Simplifying
t = 11
Solution
t = {3.666666667, 11}