-16d^2-64d+36=0

Solution for -16d^2-64d+36=0 equation:

Simplifying
-16d2 + -64d + 36 = 0

Reorder the terms:
36 + -64d + -16d2 = 0

Solving
36 + -64d + -16d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -16d + -4d2) = 0

Factor a trinomial.
4((1 + -2d)(9 + 2d)) = 0

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

Simplifying
1 + -2d = 0

Solving
1 + -2d = 0

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

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

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

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

Divide each side by '-2'.
d = 0.5

Simplifying
d = 0.5
Subproblem 2
Set the factor '(9 + 2d)' equal to zero and attempt to solve:

Simplifying
9 + 2d = 0

Solving
9 + 2d = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2d = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2d = 0 + -9
2d = 0 + -9

Combine like terms: 0 + -9 = -9
2d = -9

Divide each side by '2'.
d = -4.5

Simplifying
d = -4.5
Solution
d = {0.5, -4.5}