6p^2=-11p-40

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Solution for 6p^2=-11p-40 equation: 


Simplifying
6p2 = -11p + -40

Reorder the terms:
6p2 = -40 + -11p

Solving
6p2 = -40 + -11p

Solving for variable 'p'.

Reorder the terms:
40 + 11p + 6p2 = -40 + -11p + 40 + 11p

Reorder the terms:
40 + 11p + 6p2 = -40 + 40 + -11p + 11p

Combine like terms: -40 + 40 = 0
40 + 11p + 6p2 = 0 + -11p + 11p
40 + 11p + 6p2 = -11p + 11p

Combine like terms: -11p + 11p = 0
40 + 11p + 6p2 = 0

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

Divide each side by '6'.
6.666666667 + 1.833333333p + p2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + 1.833333333p + -6.666666667 + p2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + 1.833333333p + p2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + 1.833333333p + p2 = 0 + -6.666666667
1.833333333p + p2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
1.833333333p + p2 = -6.666666667

The p term is 1.833333333p.  Take half its coefficient (0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
1.833333333p + 0.8402777775 + p2 = -6.666666667 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333p + p2 = -6.666666667 + 0.8402777775

Combine like terms: -6.666666667 + 0.8402777775 = -5.8263888895
0.8402777775 + 1.833333333p + p2 = -5.8263888895

Factor a perfect square on the left side:
(p + 0.9166666665)(p + 0.9166666665) = -5.8263888895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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