d^2+18d+17=0

Solution for d^2+18d+17=0 equation:

Simplifying
d2 + 18d + 17 = 0

Reorder the terms:
17 + 18d + d2 = 0

Solving
17 + 18d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(17 + d)(1 + d) = 0

Subproblem 1
Set the factor '(17 + d)' equal to zero and attempt to solve:

Simplifying
17 + d = 0

Solving
17 + d = 0

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

Add '-17' to each side of the equation.
17 + -17 + d = 0 + -17

Combine like terms: 17 + -17 = 0
0 + d = 0 + -17
d = 0 + -17

Combine like terms: 0 + -17 = -17
d = -17

Simplifying
d = -17
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 = {-17, -1}