8.1n^2+3.6n+.4=0

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Solution for 8.1n^2+3.6n+.4=0 equation: 


Simplifying
8.1n2 + 3.6n + 0.4 = 0

Reorder the terms:
0.4 + 3.6n + 8.1n2 = 0

Solving
0.4 + 3.6n + 8.1n2 = 0

Solving for variable 'n'.

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

Divide each side by '8.1'.
0.04938271605 + 0.4444444444n + n2 = 0

Move the constant term to the right:

Add '-0.04938271605' to each side of the equation.
0.04938271605 + 0.4444444444n + -0.04938271605 + n2 = 0 + -0.04938271605

Reorder the terms:
0.04938271605 + -0.04938271605 + 0.4444444444n + n2 = 0 + -0.04938271605

Combine like terms: 0.04938271605 + -0.04938271605 = 0.00000000000
0.00000000000 + 0.4444444444n + n2 = 0 + -0.04938271605
0.4444444444n + n2 = 0 + -0.04938271605

Combine like terms: 0 + -0.04938271605 = -0.04938271605
0.4444444444n + n2 = -0.04938271605

The n term is 0.4444444444n.  Take half its coefficient (0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
0.4444444444n + 0.04938271604 + n2 = -0.04938271605 + 0.04938271604

Reorder the terms:
0.04938271604 + 0.4444444444n + n2 = -0.04938271605 + 0.04938271604

Combine like terms: -0.04938271605 + 0.04938271604 = -0.00000000001
0.04938271604 + 0.4444444444n + n2 = -0.00000000001

Factor a perfect square on the left side:
(n + 0.2222222222)(n + 0.2222222222) = -0.00000000001

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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