(d+6)(d+2)=5

Solution for (d+6)(d+2)=5 equation:

Simplifying
(d + 6)(d + 2) = 5

Reorder the terms:
(6 + d)(d + 2) = 5

Reorder the terms:
(6 + d)(2 + d) = 5

Multiply (6 + d) * (2 + d)
(6(2 + d) + d(2 + d)) = 5
((2 * 6 + d * 6) + d(2 + d)) = 5
((12 + 6d) + d(2 + d)) = 5
(12 + 6d + (2 * d + d * d)) = 5
(12 + 6d + (2d + d2)) = 5

Combine like terms: 6d + 2d = 8d
(12 + 8d + d2) = 5

Solving
12 + 8d + d2 = 5

Solving for variable 'd'.

Reorder the terms:
12 + -5 + 8d + d2 = 5 + -5

Combine like terms: 12 + -5 = 7
7 + 8d + d2 = 5 + -5

Combine like terms: 5 + -5 = 0
7 + 8d + d2 = 0

Factor a trinomial.
(7 + d)(1 + d) = 0

Subproblem 1
Set the factor '(7 + d)' equal to zero and attempt to solve:

Simplifying
7 + d = 0

Solving
7 + d = 0

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

Add '-7' to each side of the equation.
7 + -7 + d = 0 + -7

Combine like terms: 7 + -7 = 0
0 + d = 0 + -7
d = 0 + -7

Combine like terms: 0 + -7 = -7
d = -7

Simplifying
d = -7
Subproblem 2
Set the factor '(1 + d)' equal to zero and attempt to solve:

Simplifying
1 + d = 0

Solving
1 + d = 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 + d = 0 + -1

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

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

Simplifying
d = -1
Solution
d = {-7, -1}