3p^2+5p+73=0

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Solution for 3p^2+5p+73=0 equation:


Simplifying
3p2 + 5p + 73 = 0

Reorder the terms:
73 + 5p + 3p2 = 0

Solving
73 + 5p + 3p2 = 0

Solving for variable 'p'.

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

Divide each side by '3'.
24.33333333 + 1.666666667p + p2 = 0

Move the constant term to the right:

Add '-24.33333333' to each side of the equation.
24.33333333 + 1.666666667p + -24.33333333 + p2 = 0 + -24.33333333

Reorder the terms:
24.33333333 + -24.33333333 + 1.666666667p + p2 = 0 + -24.33333333

Combine like terms: 24.33333333 + -24.33333333 = 0.00000000
0.00000000 + 1.666666667p + p2 = 0 + -24.33333333
1.666666667p + p2 = 0 + -24.33333333

Combine like terms: 0 + -24.33333333 = -24.33333333
1.666666667p + p2 = -24.33333333

The p term is 1.666666667p.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667p + 0.6944444447 + p2 = -24.33333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667p + p2 = -24.33333333 + 0.6944444447

Combine like terms: -24.33333333 + 0.6944444447 = -23.6388888853
0.6944444447 + 1.666666667p + p2 = -23.6388888853

Factor a perfect square on the left side:
(p + 0.8333333335)(p + 0.8333333335) = -23.6388888853

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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