-d^2+d=-6

Solution for -d^2+d=-6 equation:

Simplifying
-1d2 + d = -6

Reorder the terms:
d + -1d2 = -6

Solving
d + -1d2 = -6

Solving for variable 'd'.

Reorder the terms:
6 + d + -1d2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + d + -1d2 = 0

Factor a trinomial.
(3 + -1d)(2 + d) = 0

Subproblem 1
Set the factor '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve:

Simplifying
2 + d = 0

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

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

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

Simplifying
d = -2
Solution
d = {3, -2}