12=11d-2d^2

Solution for 12=11d-2d^2 equation:

Simplifying
12 = 11d + -2d2

Solving
12 = 11d + -2d2

Solving for variable 'd'.

Reorder the terms:
12 + -11d + 2d2 = 11d + -11d + -2d2 + 2d2

Combine like terms: 11d + -11d = 0
12 + -11d + 2d2 = 0 + -2d2 + 2d2
12 + -11d + 2d2 = -2d2 + 2d2

Combine like terms: -2d2 + 2d2 = 0
12 + -11d + 2d2 = 0

Factor a trinomial.
(3 + -2d)(4 + -1d) = 0

Subproblem 1
Set the factor '(3 + -2d)' equal to zero and attempt to solve:

Simplifying
3 + -2d = 0

Solving
3 + -2d = 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 + -2d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2d = 0 + -3
-2d = 0 + -3

Combine like terms: 0 + -3 = -3
-2d = -3

Divide each side by '-2'.
d = 1.5

Simplifying
d = 1.5
Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve:

Simplifying
4 + -1d = 0

Solving
4 + -1d = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1d = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1d = 0 + -4
-1d = 0 + -4

Combine like terms: 0 + -4 = -4
-1d = -4

Divide each side by '-1'.
d = 4

Simplifying
d = 4
Solution
d = {1.5, 4}