t^2-17t-60=0

Solution for t^2-17t-60=0 equation:

Simplifying
t2 + -17t + -60 = 0

Reorder the terms:
-60 + -17t + t2 = 0

Solving
-60 + -17t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-3 + -1t)(20 + -1t) = 0

Subproblem 1
Set the factor '(-3 + -1t)' equal to zero and attempt to solve:

Simplifying
-3 + -1t = 0

Solving
-3 + -1t = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1t = 0 + 3
-1t = 0 + 3

Combine like terms: 0 + 3 = 3
-1t = 3

Divide each side by '-1'.
t = -3

Simplifying
t = -3
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 = {-3, 20}