-2(d^2+5d+4)=0

Solution for -2(d^2+5d+4)=0 equation:

Simplifying
-2(d2 + 5d + 4) = 0

Reorder the terms:
-2(4 + 5d + d2) = 0
(4 * -2 + 5d * -2 + d2 * -2) = 0
(-8 + -10d + -2d2) = 0

Solving
-8 + -10d + -2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(4 + 5d + d2) = 0

Factor a trinomial.
-2((4 + d)(1 + d)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(4 + d)' equal to zero and attempt to solve:

Simplifying
4 + d = 0

Solving
4 + d = 0

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

Add '-4' to each side of the equation.
4 + -4 + d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + d = 0 + -4
d = 0 + -4

Combine like terms: 0 + -4 = -4
d = -4

Simplifying
d = -4
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 = {-4, -1}