2t^2-53t-55=0

Solution for 2t^2-53t-55=0 equation:

Simplifying
2t2 + -53t + -55 = 0

Reorder the terms:
-55 + -53t + 2t2 = 0

Solving
-55 + -53t + 2t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1 + -1t)(55 + -2t) = 0

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

Simplifying
-1 + -1t = 0

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

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

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

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

Simplifying
t = -1
Subproblem 2
Set the factor '(55 + -2t)' equal to zero and attempt to solve:

Simplifying
55 + -2t = 0

Solving
55 + -2t = 0

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

Add '-55' to each side of the equation.
55 + -55 + -2t = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -2t = 0 + -55
-2t = 0 + -55

Combine like terms: 0 + -55 = -55
-2t = -55

Divide each side by '-2'.
t = 27.5

Simplifying
t = 27.5
Solution
t = {-1, 27.5}