d^2+56=-18d

Solution for d^2+56=-18d equation:

Simplifying
d2 + 56 = -18d

Reorder the terms:
56 + d2 = -18d

Solving
56 + d2 = -18d

Solving for variable 'd'.

Reorder the terms:
56 + 18d + d2 = -18d + 18d

Combine like terms: -18d + 18d = 0
56 + 18d + d2 = 0

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

Subproblem 1
Set the factor '(14 + d)' equal to zero and attempt to solve:

Simplifying
14 + d = 0

Solving
14 + d = 0

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

Add '-14' to each side of the equation.
14 + -14 + d = 0 + -14

Combine like terms: 14 + -14 = 0
0 + d = 0 + -14
d = 0 + -14

Combine like terms: 0 + -14 = -14
d = -14

Simplifying
d = -14
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 = {-14, -4}