12p^2-4p+5=0

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Solution for 12p^2-4p+5=0 equation:


Simplifying
12p2 + -4p + 5 = 0

Reorder the terms:
5 + -4p + 12p2 = 0

Solving
5 + -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'.
0.4166666667 + -0.3333333333p + p2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + -0.3333333333p + -0.4166666667 + p2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + -0.3333333333p + p2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + -0.3333333333p + p2 = 0 + -0.4166666667
-0.3333333333p + p2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
-0.3333333333p + p2 = -0.4166666667

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 = -0.4166666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333p + p2 = -0.4166666667 + 0.02777777779

Combine like terms: -0.4166666667 + 0.02777777779 = -0.38888888891
0.02777777779 + -0.3333333333p + p2 = -0.38888888891

Factor a perfect square on the left side:
(p + -0.1666666667)(p + -0.1666666667) = -0.38888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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