4d^2+16d+16=0

Solution for 4d^2+16d+16=0 equation:

Simplifying
4d2 + 16d + 16 = 0

Reorder the terms:
16 + 16d + 4d2 = 0

Solving
16 + 16d + 4d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 4d + d2) = 0

Factor a trinomial.
4((2 + d)(2 + d)) = 0

Ignore the factor 4.
Subproblem 1
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
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 = {-2, -2}