D^2-14D+45=0

Solution for D^2-14D+45=0 equation:

Simplifying
D2 + -14D + 45 = 0

Reorder the terms:
45 + -14D + D2 = 0

Solving
45 + -14D + D2 = 0

Solving for variable 'D'.

Factor a trinomial.
(5 + -1D)(9 + -1D) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + -1D)' equal to zero and attempt to solve:

Simplifying
9 + -1D = 0

Solving
9 + -1D = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1D = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1D = 0 + -9
-1D = 0 + -9

Combine like terms: 0 + -9 = -9
-1D = -9

Divide each side by '-1'.
D = 9

Simplifying
D = 9
Solution
D = {5, 9}