14n^2+57n+155=0

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Solution for 14n^2+57n+155=0 equation:


Simplifying
14n2 + 57n + 155 = 0

Reorder the terms:
155 + 57n + 14n2 = 0

Solving
155 + 57n + 14n2 = 0

Solving for variable 'n'.

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

Divide each side by '14'.
11.07142857 + 4.071428571n + n2 = 0

Move the constant term to the right:

Add '-11.07142857' to each side of the equation.
11.07142857 + 4.071428571n + -11.07142857 + n2 = 0 + -11.07142857

Reorder the terms:
11.07142857 + -11.07142857 + 4.071428571n + n2 = 0 + -11.07142857

Combine like terms: 11.07142857 + -11.07142857 = 0.00000000
0.00000000 + 4.071428571n + n2 = 0 + -11.07142857
4.071428571n + n2 = 0 + -11.07142857

Combine like terms: 0 + -11.07142857 = -11.07142857
4.071428571n + n2 = -11.07142857

The n term is 4.071428571n.  Take half its coefficient (2.035714286).
Square it (4.144132654) and add it to both sides.

Add '4.144132654' to each side of the equation.
4.071428571n + 4.144132654 + n2 = -11.07142857 + 4.144132654

Reorder the terms:
4.144132654 + 4.071428571n + n2 = -11.07142857 + 4.144132654

Combine like terms: -11.07142857 + 4.144132654 = -6.927295916
4.144132654 + 4.071428571n + n2 = -6.927295916

Factor a perfect square on the left side:
(n + 2.035714286)(n + 2.035714286) = -6.927295916

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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