10n^2-n+7=0

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Solution for 10n^2-n+7=0 equation:


Simplifying
10n2 + -1n + 7 = 0

Reorder the terms:
7 + -1n + 10n2 = 0

Solving
7 + -1n + 10n2 = 0

Solving for variable 'n'.

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

Divide each side by '10'.
0.7 + -0.1n + n2 = 0

Move the constant term to the right:

Add '-0.7' to each side of the equation.
0.7 + -0.1n + -0.7 + n2 = 0 + -0.7

Reorder the terms:
0.7 + -0.7 + -0.1n + n2 = 0 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.1n + n2 = 0 + -0.7
-0.1n + n2 = 0 + -0.7

Combine like terms: 0 + -0.7 = -0.7
-0.1n + n2 = -0.7

The n term is -0.1n.  Take half its coefficient (-0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
-0.1n + 0.0025 + n2 = -0.7 + 0.0025

Reorder the terms:
0.0025 + -0.1n + n2 = -0.7 + 0.0025

Combine like terms: -0.7 + 0.0025 = -0.6975
0.0025 + -0.1n + n2 = -0.6975

Factor a perfect square on the left side:
(n + -0.05)(n + -0.05) = -0.6975

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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