d^2+16=-8d

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


Simplifying
d2 + 16 = -8d

Reorder the terms:
16 + d2 = -8d

Solving
16 + d2 = -8d

Solving for variable 'd'.

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

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

Factor a trinomial.
(4 + d)(4 + 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 '(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

Solution

d = {-4, -4}

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