(d-8)(d+3)=0

Solution for (d-8)(d+3)=0 equation:

Simplifying
(d + -8)(d + 3) = 0

Reorder the terms:
(-8 + d)(d + 3) = 0

Reorder the terms:
(-8 + d)(3 + d) = 0

Multiply (-8 + d) * (3 + d)
(-8(3 + d) + d(3 + d)) = 0
((3 * -8 + d * -8) + d(3 + d)) = 0
((-24 + -8d) + d(3 + d)) = 0
(-24 + -8d + (3 * d + d * d)) = 0
(-24 + -8d + (3d + d2)) = 0

Combine like terms: -8d + 3d = -5d
(-24 + -5d + d2) = 0

Solving
-24 + -5d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -1d)(8 + -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 '(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
Solution
d = {-3, 8}