2t^2-3t-44=0

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

Simplifying
2t2 + -3t + -44 = 0

Reorder the terms:
-44 + -3t + 2t2 = 0

Solving
-44 + -3t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -1t)(11 + -2t) = 0

Subproblem 1
Set the factor '(-4 + -1t)' equal to zero and attempt to solve:

Simplifying
-4 + -1t = 0

Solving
-4 + -1t = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1t = 0 + 4
-1t = 0 + 4

Combine like terms: 0 + 4 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4
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 = {-4, 5.5}