3d^2-63d+60=0

Solution for 3d^2-63d+60=0 equation:

Simplifying
3d2 + -63d + 60 = 0

Reorder the terms:
60 + -63d + 3d2 = 0

Solving
60 + -63d + 3d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + -21d + d2) = 0

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

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

Simplifying
1 + -1d = 0

Solving
1 + -1d = 0

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

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

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

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

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

Simplifying
d = 1
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 = {1, 20}