d^2-4*d-1085=0

Solution for d^2-4*d-1085=0 equation:

Simplifying
d2 + -4d + -1085 = 0

Reorder the terms:
-1085 + -4d + d2 = 0

Solving
-1085 + -4d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-31 + -1d)(35 + -1d) = 0

Subproblem 1
Set the factor '(-31 + -1d)' equal to zero and attempt to solve:

Simplifying
-31 + -1d = 0

Solving
-31 + -1d = 0

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

Add '31' to each side of the equation.
-31 + 31 + -1d = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -1d = 0 + 31
-1d = 0 + 31

Combine like terms: 0 + 31 = 31
-1d = 31

Divide each side by '-1'.
d = -31

Simplifying
d = -31
Subproblem 2
Set the factor '(35 + -1d)' equal to zero and attempt to solve:

Simplifying
35 + -1d = 0

Solving
35 + -1d = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1d = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1d = 0 + -35
-1d = 0 + -35

Combine like terms: 0 + -35 = -35
-1d = -35

Divide each side by '-1'.
d = 35

Simplifying
d = 35
Solution
d = {-31, 35}