4t^2+44t+121=0

Solution for 4t^2+44t+121=0 equation:

Simplifying
4t2 + 44t + 121 = 0

Reorder the terms:
121 + 44t + 4t2 = 0

Solving
121 + 44t + 4t2 = 0

Solving for variable 't'.

Factor a trinomial.
(11 + 2t)(11 + 2t) = 0

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

Simplifying
11 + 2t = 0

Solving
11 + 2t = 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 + 2t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2t = 0 + -11
2t = 0 + -11

Combine like terms: 0 + -11 = -11
2t = -11

Divide each side by '2'.
t = -5.5

Simplifying
t = -5.5
Subproblem 2
Set the factor '(11 + 2t)' equal to zero and attempt to solve:

Simplifying
11 + 2t = 0

Solving
11 + 2t = 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 + 2t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2t = 0 + -11
2t = 0 + -11

Combine like terms: 0 + -11 = -11
2t = -11

Divide each side by '2'.
t = -5.5

Simplifying
t = -5.5
Solution
t = {-5.5, -5.5}