d^2=8d-15

Solution for d^2=8d-15 equation:

Simplifying
d2 = 8d + -15

Reorder the terms:
d2 = -15 + 8d

Solving
d2 = -15 + 8d

Solving for variable 'd'.

Reorder the terms:
15 + -8d + d2 = -15 + 8d + 15 + -8d

Reorder the terms:
15 + -8d + d2 = -15 + 15 + 8d + -8d

Combine like terms: -15 + 15 = 0
15 + -8d + d2 = 0 + 8d + -8d
15 + -8d + d2 = 8d + -8d

Combine like terms: 8d + -8d = 0
15 + -8d + d2 = 0

Factor a trinomial.
(3 + -1d)(5 + -1d) = 0

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 '(5 + -1d)' equal to zero and attempt to solve:

Simplifying
5 + -1d = 0

Solving
5 + -1d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1d = 0 + -5
-1d = 0 + -5

Combine like terms: 0 + -5 = -5
-1d = -5

Divide each side by '-1'.
d = 5

Simplifying
d = 5
Solution
d = {3, 5}