12n^2+11n=-8

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Solution for 12n^2+11n=-8 equation:


Simplifying
12n2 + 11n = -8

Reorder the terms:
11n + 12n2 = -8

Solving
11n + 12n2 = -8

Solving for variable 'n'.

Reorder the terms:
8 + 11n + 12n2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 11n + 12n2 = 0

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

Divide each side by '12'.
0.6666666667 + 0.9166666667n + n2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.9166666667n + -0.6666666667 + n2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.9166666667n + n2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.9166666667n + n2 = 0 + -0.6666666667
0.9166666667n + n2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.9166666667n + n2 = -0.6666666667

The n term is 0.9166666667n.  Take half its coefficient (0.4583333334).
Square it (0.2100694445) and add it to both sides.

Add '0.2100694445' to each side of the equation.
0.9166666667n + 0.2100694445 + n2 = -0.6666666667 + 0.2100694445

Reorder the terms:
0.2100694445 + 0.9166666667n + n2 = -0.6666666667 + 0.2100694445

Combine like terms: -0.6666666667 + 0.2100694445 = -0.4565972222
0.2100694445 + 0.9166666667n + n2 = -0.4565972222

Factor a perfect square on the left side:
(n + 0.4583333334)(n + 0.4583333334) = -0.4565972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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