14n^2+12n+9=0

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Solution for 14n^2+12n+9=0 equation: 


Simplifying
14n2 + 12n + 9 = 0

Reorder the terms:
9 + 12n + 14n2 = 0

Solving
9 + 12n + 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'.
0.6428571429 + 0.8571428571n + n2 = 0

Move the constant term to the right:

Add '-0.6428571429' to each side of the equation.
0.6428571429 + 0.8571428571n + -0.6428571429 + n2 = 0 + -0.6428571429

Reorder the terms:
0.6428571429 + -0.6428571429 + 0.8571428571n + n2 = 0 + -0.6428571429

Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000
0.0000000000 + 0.8571428571n + n2 = 0 + -0.6428571429
0.8571428571n + n2 = 0 + -0.6428571429

Combine like terms: 0 + -0.6428571429 = -0.6428571429
0.8571428571n + n2 = -0.6428571429

The n term is 0.8571428571n.  Take half its coefficient (0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
0.8571428571n + 0.1836734694 + n2 = -0.6428571429 + 0.1836734694

Reorder the terms:
0.1836734694 + 0.8571428571n + n2 = -0.6428571429 + 0.1836734694

Combine like terms: -0.6428571429 + 0.1836734694 = -0.4591836735
0.1836734694 + 0.8571428571n + n2 = -0.4591836735

Factor a perfect square on the left side:
(n + 0.4285714286)(n + 0.4285714286) = -0.4591836735

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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