-d^2-23d+50=0

Solution for -d^2-23d+50=0 equation:

Simplifying
-1d2 + -23d + 50 = 0

Reorder the terms:
50 + -23d + -1d2 = 0

Solving
50 + -23d + -1d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(2 + -1d)(25 + d) = 0

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

Simplifying
2 + -1d = 0

Solving
2 + -1d = 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 + -1d = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1d = 0 + -2
-1d = 0 + -2

Combine like terms: 0 + -2 = -2
-1d = -2

Divide each side by '-1'.
d = 2

Simplifying
d = 2
Subproblem 2
Set the factor '(25 + d)' equal to zero and attempt to solve:

Simplifying
25 + d = 0

Solving
25 + d = 0

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

Add '-25' to each side of the equation.
25 + -25 + d = 0 + -25

Combine like terms: 25 + -25 = 0
0 + d = 0 + -25
d = 0 + -25

Combine like terms: 0 + -25 = -25
d = -25

Simplifying
d = -25
Solution
d = {2, -25}