5d^2-50d+120=0

Solution for 5d^2-50d+120=0 equation:

Simplifying
5d2 + -50d + 120 = 0

Reorder the terms:
120 + -50d + 5d2 = 0

Solving
120 + -50d + 5d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '5'.
5(24 + -10d + d2) = 0

Factor a trinomial.
5((4 + -1d)(6 + -1d)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1d = 0 + -4
-1d = 0 + -4

Combine like terms: 0 + -4 = -4
-1d = -4

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Subproblem 2
Set the factor '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Solution
d = {4, 6}