d^2-23d+60=0

Solution for d^2-23d+60=0 equation:

Simplifying
d2 + -23d + 60 = 0

Reorder the terms:
60 + -23d + d2 = 0

Solving
60 + -23d + d2 = 0

Solving for variable 'd'.

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

Subproblem 1
Set the factor '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1d = 0 + -3

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

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

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Subproblem 2
Set the factor '(20 + -1d)' equal to zero and attempt to solve:

Simplifying
20 + -1d = 0

Solving
20 + -1d = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1d = 0 + -20

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

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

Divide each side by '-1'.
d = 20

Simplifying
d = 20
Solution
d = {3, 20}