7n^2-2n+62=0

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Solution for 7n^2-2n+62=0 equation:


Simplifying
7n2 + -2n + 62 = 0

Reorder the terms:
62 + -2n + 7n2 = 0

Solving
62 + -2n + 7n2 = 0

Solving for variable 'n'.

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

Divide each side by '7'.
8.857142857 + -0.2857142857n + n2 = 0

Move the constant term to the right:

Add '-8.857142857' to each side of the equation.
8.857142857 + -0.2857142857n + -8.857142857 + n2 = 0 + -8.857142857

Reorder the terms:
8.857142857 + -8.857142857 + -0.2857142857n + n2 = 0 + -8.857142857

Combine like terms: 8.857142857 + -8.857142857 = 0.000000000
0.000000000 + -0.2857142857n + n2 = 0 + -8.857142857
-0.2857142857n + n2 = 0 + -8.857142857

Combine like terms: 0 + -8.857142857 = -8.857142857
-0.2857142857n + n2 = -8.857142857

The n term is -0.2857142857n.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857n + 0.02040816328 + n2 = -8.857142857 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857n + n2 = -8.857142857 + 0.02040816328

Combine like terms: -8.857142857 + 0.02040816328 = -8.83673469372
0.02040816328 + -0.2857142857n + n2 = -8.83673469372

Factor a perfect square on the left side:
(n + -0.1428571429)(n + -0.1428571429) = -8.83673469372

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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