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.
(-20 + -1t)(3 + -1t) = 0

Subproblem 1
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
Subproblem 2
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
Solution
t = {-20, 3}