8-d=d^2-64

Solution for 8-d=d^2-64 equation:

Simplifying
8 + -1d = d2 + -64

Reorder the terms:
8 + -1d = -64 + d2

Solving
8 + -1d = -64 + d2

Solving for variable 'd'.

Reorder the terms:
8 + 64 + -1d + -1d2 = -64 + d2 + 64 + -1d2

Combine like terms: 8 + 64 = 72
72 + -1d + -1d2 = -64 + d2 + 64 + -1d2

Reorder the terms:
72 + -1d + -1d2 = -64 + 64 + d2 + -1d2

Combine like terms: -64 + 64 = 0
72 + -1d + -1d2 = 0 + d2 + -1d2
72 + -1d + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
72 + -1d + -1d2 = 0

Factor a trinomial.
(8 + -1d)(9 + d) = 0

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

Simplifying
8 + -1d = 0

Solving
8 + -1d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1d = 0 + -8

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

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

Divide each side by '-1'.
d = 8

Simplifying
d = 8
Subproblem 2
Set the factor '(9 + d)' equal to zero and attempt to solve:

Simplifying
9 + d = 0

Solving
9 + d = 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 + d = 0 + -9

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

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

Simplifying
d = -9
Solution
d = {8, -9}