0=n^2-3n+2.25

Solution for 0=n^2-3n+2.25 equation:

Simplifying
0 = n2 + -3n + 2.25

Reorder the terms:
0 = 2.25 + -3n + n2

Solving
0 = 2.25 + -3n + n2

Solving for variable 'n'.

Combine like terms: 0 + -2.25 = -2.25
-2.25 + 3n + -1n2 = 2.25 + -3n + n2 + -2.25 + 3n + -1n2

Reorder the terms:
-2.25 + 3n + -1n2 = 2.25 + -2.25 + -3n + 3n + n2 + -1n2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + 3n + -1n2 = 0.00 + -3n + 3n + n2 + -1n2
-2.25 + 3n + -1n2 = -3n + 3n + n2 + -1n2

Combine like terms: -3n + 3n = 0
-2.25 + 3n + -1n2 = 0 + n2 + -1n2
-2.25 + 3n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-2.25 + 3n + -1n2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
2.25 + -3n + n2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -3n + -2.25 + n2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -3n + n2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -3n + n2 = 0 + -2.25
-3n + n2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-3n + n2 = -2.25

The n term is -3n.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3n + 2.25 + n2 = -2.25 + 2.25

Reorder the terms:
2.25 + -3n + n2 = -2.25 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
2.25 + -3n + n2 = 0.00

Factor a perfect square on the left side:
(n + -1.5)(n + -1.5) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(n + -1.5) equal to 0.00 and 0.00.

Subproblem 1
n + -1.5 = 0.00

Simplifying
n + -1.5 = 0.00

Reorder the terms:
-1.5 + n = 0.00

Solving
-1.5 + n = 0.00

Solving for variable 'n'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + n = 0.00 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + n = 0.00 + 1.5
n = 0.00 + 1.5

Combine like terms: 0.00 + 1.5 = 1.5
n = 1.5

Simplifying
n = 1.5

Subproblem 2
n + -1.5 = 0.00

Simplifying
n + -1.5 = 0.00

Reorder the terms:
-1.5 + n = 0.00

Solving
-1.5 + n = 0.00

Solving for variable 'n'.

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + n = 0.00 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + n = 0.00 + 1.5
n = 0.00 + 1.5

Combine like terms: 0.00 + 1.5 = 1.5
n = 1.5

Simplifying
n = 1.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
n = {1.5, 1.5}