12n^2+2n+1=0

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Solution for 12n^2+2n+1=0 equation: 


Simplifying
12n2 + 2n + 1 = 0

Reorder the terms:
1 + 2n + 12n2 = 0

Solving
1 + 2n + 12n2 = 0

Solving for variable 'n'.

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

Divide each side by '12'.
0.08333333333 + 0.1666666667n + n2 = 0

Move the constant term to the right:

Add '-0.08333333333' to each side of the equation.
0.08333333333 + 0.1666666667n + -0.08333333333 + n2 = 0 + -0.08333333333

Reorder the terms:
0.08333333333 + -0.08333333333 + 0.1666666667n + n2 = 0 + -0.08333333333

Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000
0.00000000000 + 0.1666666667n + n2 = 0 + -0.08333333333
0.1666666667n + n2 = 0 + -0.08333333333

Combine like terms: 0 + -0.08333333333 = -0.08333333333
0.1666666667n + n2 = -0.08333333333

The n term is 0.1666666667n.  Take half its coefficient (0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
0.1666666667n + 0.006944444447 + n2 = -0.08333333333 + 0.006944444447

Reorder the terms:
0.006944444447 + 0.1666666667n + n2 = -0.08333333333 + 0.006944444447

Combine like terms: -0.08333333333 + 0.006944444447 = -0.076388888883
0.006944444447 + 0.1666666667n + n2 = -0.076388888883

Factor a perfect square on the left side:
(n + 0.08333333335)(n + 0.08333333335) = -0.076388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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