12p^2+4p+1=0

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Solution for 12p^2+4p+1=0 equation: 


Simplifying
12p2 + 4p + 1 = 0

Reorder the terms:
1 + 4p + 12p2 = 0

Solving
1 + 4p + 12p2 = 0

Solving for variable 'p'.

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

Divide each side by '12'.
0.08333333333 + 0.3333333333p + p2 = 0

Move the constant term to the right:

Add '-0.08333333333' to each side of the equation.
0.08333333333 + 0.3333333333p + -0.08333333333 + p2 = 0 + -0.08333333333

Reorder the terms:
0.08333333333 + -0.08333333333 + 0.3333333333p + p2 = 0 + -0.08333333333

Combine like terms: 0.08333333333 + -0.08333333333 = 0.00000000000
0.00000000000 + 0.3333333333p + p2 = 0 + -0.08333333333
0.3333333333p + p2 = 0 + -0.08333333333

Combine like terms: 0 + -0.08333333333 = -0.08333333333
0.3333333333p + p2 = -0.08333333333

The p term is 0.3333333333p.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333p + 0.02777777779 + p2 = -0.08333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333p + p2 = -0.08333333333 + 0.02777777779

Combine like terms: -0.08333333333 + 0.02777777779 = -0.05555555554
0.02777777779 + 0.3333333333p + p2 = -0.05555555554

Factor a perfect square on the left side:
(p + 0.1666666667)(p + 0.1666666667) = -0.05555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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