(d+4)(d+4)=4

Solution for (d+4)(d+4)=4 equation:

Simplifying
(d + 4)(d + 4) = 4

Reorder the terms:
(4 + d)(d + 4) = 4

Reorder the terms:
(4 + d)(4 + d) = 4

Multiply (4 + d) * (4 + d)
(4(4 + d) + d(4 + d)) = 4
((4 * 4 + d * 4) + d(4 + d)) = 4
((16 + 4d) + d(4 + d)) = 4
(16 + 4d + (4 * d + d * d)) = 4
(16 + 4d + (4d + d2)) = 4

Combine like terms: 4d + 4d = 8d
(16 + 8d + d2) = 4

Solving
16 + 8d + d2 = 4

Solving for variable 'd'.

Reorder the terms:
16 + -4 + 8d + d2 = 4 + -4

Combine like terms: 16 + -4 = 12
12 + 8d + d2 = 4 + -4

Combine like terms: 4 + -4 = 0
12 + 8d + d2 = 0

Factor a trinomial.
(6 + d)(2 + d) = 0

Subproblem 1
Set the factor '(6 + d)' equal to zero and attempt to solve:

Simplifying
6 + d = 0

Solving
6 + d = 0

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

Add '-6' to each side of the equation.
6 + -6 + d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + d = 0 + -6
d = 0 + -6

Combine like terms: 0 + -6 = -6
d = -6

Simplifying
d = -6
Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve:

Simplifying
2 + d = 0

Solving
2 + d = 0

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

Add '-2' to each side of the equation.
2 + -2 + d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + d = 0 + -2
d = 0 + -2

Combine like terms: 0 + -2 = -2
d = -2

Simplifying
d = -2
Solution
d = {-6, -2}