(11D^2-D-10)=0

Solution for (11D^2-D-10)=0 equation:

Simplifying
(11D2 + -1D + -10) = 0

Reorder the terms:
(-10 + -1D + 11D2) = 0

Remove parenthesis around (-10 + -1D + 11D2)
-10 + -1D + 11D2 = 0

Solving
-10 + -1D + 11D2 = 0

Solving for variable 'D'.

Factor a trinomial.
(-10 + -11D)(1 + -1D) = 0

Subproblem 1
Set the factor '(-10 + -11D)' equal to zero and attempt to solve:

Simplifying
-10 + -11D = 0

Solving
-10 + -11D = 0

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

Add '10' to each side of the equation.
-10 + 10 + -11D = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -11D = 0 + 10
-11D = 0 + 10

Combine like terms: 0 + 10 = 10
-11D = 10

Divide each side by '-11'.
D = -0.9090909091

Simplifying
D = -0.9090909091
Subproblem 2
Set the factor '(1 + -1D)' equal to zero and attempt to solve:

Simplifying
1 + -1D = 0

Solving
1 + -1D = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1D = 0 + -1
-1D = 0 + -1

Combine like terms: 0 + -1 = -1
-1D = -1

Divide each side by '-1'.
D = 1

Simplifying
D = 1
Solution
D = {-0.9090909091, 1}