8d-16=d^2

Solution for 8d-16=d^2 equation:

Simplifying
8d + -16 = d2

Reorder the terms:
-16 + 8d = d2

Solving
-16 + 8d = d2

Solving for variable 'd'.

Combine like terms: d2 + -1d2 = 0
-16 + 8d + -1d2 = 0

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

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

Simplifying
-4 + d = 0

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

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

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

Simplifying
d = 4
Subproblem 2
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
Solution
d = {4, 4}