d^2-2d-8=-8d-16

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Solution for d^2-2d-8=-8d-16 equation: 


Simplifying
d2 + -2d + -8 = -8d + -16

Reorder the terms:
-8 + -2d + d2 = -8d + -16

Reorder the terms:
-8 + -2d + d2 = -16 + -8d

Solving
-8 + -2d + d2 = -16 + -8d

Solving for variable 'd'.

Reorder the terms:
-8 + 16 + -2d + 8d + d2 = -16 + -8d + 16 + 8d

Combine like terms: -8 + 16 = 8
8 + -2d + 8d + d2 = -16 + -8d + 16 + 8d

Combine like terms: -2d + 8d = 6d
8 + 6d + d2 = -16 + -8d + 16 + 8d

Reorder the terms:
8 + 6d + d2 = -16 + 16 + -8d + 8d

Combine like terms: -16 + 16 = 0
8 + 6d + d2 = 0 + -8d + 8d
8 + 6d + d2 = -8d + 8d

Combine like terms: -8d + 8d = 0
8 + 6d + d2 = 0

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


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 '(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 = {-4, -2}

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