11d-d^2=30

Solution for 11d-d^2=30 equation:

Simplifying
11d + -1d2 = 30

Solving
11d + -1d2 = 30

Solving for variable 'd'.

Reorder the terms:
-30 + 11d + -1d2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 11d + -1d2 = 0

Factor a trinomial.
(-6 + d)(5 + -1d) = 0

Subproblem 1
Set the factor '(-6 + d)' equal to zero and attempt to solve:

Simplifying
-6 + d = 0

Solving
-6 + d = 0

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

Add '6' to each side of the equation.
-6 + 6 + d = 0 + 6

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

Combine like terms: 0 + 6 = 6
d = 6

Simplifying
d = 6
Subproblem 2
Set the factor '(5 + -1d)' equal to zero and attempt to solve:

Simplifying
5 + -1d = 0

Solving
5 + -1d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1d = 0 + -5
-1d = 0 + -5

Combine like terms: 0 + -5 = -5
-1d = -5

Divide each side by '-1'.
d = 5

Simplifying
d = 5
Solution
d = {6, 5}