t^2-8t-240=0

Solution for t^2-8t-240=0 equation:

Simplifying
t2 + -8t + -240 = 0

Reorder the terms:
-240 + -8t + t2 = 0

Solving
-240 + -8t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-12 + -1t)(20 + -1t) = 0

Subproblem 1
Set the factor '(-12 + -1t)' equal to zero and attempt to solve:

Simplifying
-12 + -1t = 0

Solving
-12 + -1t = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1t = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1t = 0 + 12
-1t = 0 + 12

Combine like terms: 0 + 12 = 12
-1t = 12

Divide each side by '-1'.
t = -12

Simplifying
t = -12
Subproblem 2
Set the factor '(20 + -1t)' equal to zero and attempt to solve:

Simplifying
20 + -1t = 0

Solving
20 + -1t = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1t = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1t = 0 + -20
-1t = 0 + -20

Combine like terms: 0 + -20 = -20
-1t = -20

Divide each side by '-1'.
t = 20

Simplifying
t = 20
Solution
t = {-12, 20}