12p^2+p=-5

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


Simplifying
12p2 + p = -5

Reorder the terms:
p + 12p2 = -5

Solving
p + 12p2 = -5

Solving for variable 'p'.

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

Combine like terms: -5 + 5 = 0
5 + p + 12p2 = 0

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

Divide each side by '12'.
0.4166666667 + 0.08333333333p + p2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + 0.08333333333p + -0.4166666667 + p2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + 0.08333333333p + p2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + 0.08333333333p + p2 = 0 + -0.4166666667
0.08333333333p + p2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
0.08333333333p + p2 = -0.4166666667

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.08333333333p + 0.25 + p2 = -0.4166666667 + 0.25

Reorder the terms:
0.25 + 0.08333333333p + p2 = -0.4166666667 + 0.25

Combine like terms: -0.4166666667 + 0.25 = -0.1666666667
0.25 + 0.08333333333p + p2 = -0.1666666667

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.1666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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