10d^2-50d+60=0

Solution for 10d^2-50d+60=0 equation:

Simplifying
10d2 + -50d + 60 = 0

Reorder the terms:
60 + -50d + 10d2 = 0

Solving
60 + -50d + 10d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '10'.
10(6 + -5d + d2) = 0

Factor a trinomial.
10((2 + -1d)(3 + -1d)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(2 + -1d)' equal to zero and attempt to solve:

Simplifying
2 + -1d = 0

Solving
2 + -1d = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1d = 0 + -2
-1d = 0 + -2

Combine like terms: 0 + -2 = -2
-1d = -2

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Subproblem 2
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
Solution
d = {2, 3}