8d^2-68d+132=0

Solution for 8d^2-68d+132=0 equation:

Simplifying
8d2 + -68d + 132 = 0

Reorder the terms:
132 + -68d + 8d2 = 0

Solving
132 + -68d + 8d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4'.
4(33 + -17d + 2d2) = 0

Factor a trinomial.
4((3 + -1d)(11 + -2d)) = 0

Ignore the factor 4.
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 '(11 + -2d)' equal to zero and attempt to solve:

Simplifying
11 + -2d = 0

Solving
11 + -2d = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2d = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2d = 0 + -11
-2d = 0 + -11

Combine like terms: 0 + -11 = -11
-2d = -11

Divide each side by '-2'.
d = 5.5

Simplifying
d = 5.5
Solution
d = {3, 5.5}