-9n^2+4n-16=0

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Solution for -9n^2+4n-16=0 equation:


Simplifying
-9n2 + 4n + -16 = 0

Reorder the terms:
-16 + 4n + -9n2 = 0

Solving
-16 + 4n + -9n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
1.777777778 + -0.4444444444n + n2 = 0

Move the constant term to the right:

Add '-1.777777778' to each side of the equation.
1.777777778 + -0.4444444444n + -1.777777778 + n2 = 0 + -1.777777778

Reorder the terms:
1.777777778 + -1.777777778 + -0.4444444444n + n2 = 0 + -1.777777778

Combine like terms: 1.777777778 + -1.777777778 = 0.000000000
0.000000000 + -0.4444444444n + n2 = 0 + -1.777777778
-0.4444444444n + n2 = 0 + -1.777777778

Combine like terms: 0 + -1.777777778 = -1.777777778
-0.4444444444n + n2 = -1.777777778

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 = -1.777777778 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444n + n2 = -1.777777778 + 0.04938271604

Combine like terms: -1.777777778 + 0.04938271604 = -1.72839506196
0.04938271604 + -0.4444444444n + n2 = -1.72839506196

Factor a perfect square on the left side:
(n + -0.2222222222)(n + -0.2222222222) = -1.72839506196

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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