6t-55+t^2=0

Solution for 6t-55+t^2=0 equation:

Simplifying
6t + -55 + t2 = 0

Reorder the terms:
-55 + 6t + t2 = 0

Solving
-55 + 6t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-11 + -1t)(5 + -1t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {-11, 5}