t^2-2t-195=0

Solution for t^2-2t-195=0 equation:

Simplifying
t2 + -2t + -195 = 0

Reorder the terms:
-195 + -2t + t2 = 0

Solving
-195 + -2t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-13 + -1t)(15 + -1t) = 0

Subproblem 1
Set the factor '(-13 + -1t)' equal to zero and attempt to solve:

Simplifying
-13 + -1t = 0

Solving
-13 + -1t = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1t = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1t = 0 + 13
-1t = 0 + 13

Combine like terms: 0 + 13 = 13
-1t = 13

Divide each side by '-1'.
t = -13

Simplifying
t = -13
Subproblem 2
Set the factor '(15 + -1t)' equal to zero and attempt to solve:

Simplifying
15 + -1t = 0

Solving
15 + -1t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1t = 0 + -15
-1t = 0 + -15

Combine like terms: 0 + -15 = -15
-1t = -15

Divide each side by '-1'.
t = 15

Simplifying
t = 15
Solution
t = {-13, 15}