-4d^2-32d+132=0

Solution for -4d^2-32d+132=0 equation:

Simplifying
-4d2 + -32d + 132 = 0

Reorder the terms:
132 + -32d + -4d2 = 0

Solving
132 + -32d + -4d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4'.
4(33 + -8d + -1d2) = 0

Factor a trinomial.
4((3 + -1d)(11 + d)) = 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 + d)' equal to zero and attempt to solve:

Simplifying
11 + d = 0

Solving
11 + d = 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 + d = 0 + -11

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

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

Simplifying
d = -11
Solution
d = {3, -11}