11p^2-24p+24=-6p

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Solution for 11p^2-24p+24=-6p equation: 


Simplifying
11p2 + -24p + 24 = -6p

Reorder the terms:
24 + -24p + 11p2 = -6p

Solving
24 + -24p + 11p2 = -6p

Solving for variable 'p'.

Reorder the terms:
24 + -24p + 6p + 11p2 = -6p + 6p

Combine like terms: -24p + 6p = -18p
24 + -18p + 11p2 = -6p + 6p

Combine like terms: -6p + 6p = 0
24 + -18p + 11p2 = 0

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

Divide each side by '11'.
2.181818182 + -1.636363636p + p2 = 0

Move the constant term to the right:

Add '-2.181818182' to each side of the equation.
2.181818182 + -1.636363636p + -2.181818182 + p2 = 0 + -2.181818182

Reorder the terms:
2.181818182 + -2.181818182 + -1.636363636p + p2 = 0 + -2.181818182

Combine like terms: 2.181818182 + -2.181818182 = 0.000000000
0.000000000 + -1.636363636p + p2 = 0 + -2.181818182
-1.636363636p + p2 = 0 + -2.181818182

Combine like terms: 0 + -2.181818182 = -2.181818182
-1.636363636p + p2 = -2.181818182

The p term is -1.636363636p.  Take half its coefficient (-0.818181818).
Square it (0.6694214873) and add it to both sides.

Add '0.6694214873' to each side of the equation.
-1.636363636p + 0.6694214873 + p2 = -2.181818182 + 0.6694214873

Reorder the terms:
0.6694214873 + -1.636363636p + p2 = -2.181818182 + 0.6694214873

Combine like terms: -2.181818182 + 0.6694214873 = -1.5123966947
0.6694214873 + -1.636363636p + p2 = -1.5123966947

Factor a perfect square on the left side:
(p + -0.818181818)(p + -0.818181818) = -1.5123966947

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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