5d^2+20d+20=0

Solution for 5d^2+20d+20=0 equation:

Simplifying
5d2 + 20d + 20 = 0

Reorder the terms:
20 + 20d + 5d2 = 0

Solving
20 + 20d + 5d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + 4d + d2) = 0

Factor a trinomial.
5((2 + d)(2 + d)) = 0

Ignore the factor 5.
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}