(8d-20)(8d-6)=0

Solution for (8d-20)(8d-6)=0 equation:

Simplifying
(8d + -20)(8d + -6) = 0

Reorder the terms:
(-20 + 8d)(8d + -6) = 0

Reorder the terms:
(-20 + 8d)(-6 + 8d) = 0

Multiply (-20 + 8d) * (-6 + 8d)
(-20(-6 + 8d) + 8d * (-6 + 8d)) = 0
((-6 * -20 + 8d * -20) + 8d * (-6 + 8d)) = 0
((120 + -160d) + 8d * (-6 + 8d)) = 0
(120 + -160d + (-6 * 8d + 8d * 8d)) = 0
(120 + -160d + (-48d + 64d2)) = 0

Combine like terms: -160d + -48d = -208d
(120 + -208d + 64d2) = 0

Solving
120 + -208d + 64d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '8'.
8(15 + -26d + 8d2) = 0

Factor a trinomial.
8((3 + -4d)(5 + -2d)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(3 + -4d)' equal to zero and attempt to solve:

Simplifying
3 + -4d = 0

Solving
3 + -4d = 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 + -4d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4d = 0 + -3
-4d = 0 + -3

Combine like terms: 0 + -3 = -3
-4d = -3

Divide each side by '-4'.
d = 0.75

Simplifying
d = 0.75
Subproblem 2
Set the factor '(5 + -2d)' equal to zero and attempt to solve:

Simplifying
5 + -2d = 0

Solving
5 + -2d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2d = 0 + -5
-2d = 0 + -5

Combine like terms: 0 + -5 = -5
-2d = -5

Divide each side by '-2'.
d = 2.5

Simplifying
d = 2.5
Solution
d = {0.75, 2.5}