7p^2-8p+24=0

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Solution for 7p^2-8p+24=0 equation:


Simplifying
7p2 + -8p + 24 = 0

Reorder the terms:
24 + -8p + 7p2 = 0

Solving
24 + -8p + 7p2 = 0

Solving for variable 'p'.

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

Divide each side by '7'.
3.428571429 + -1.142857143p + p2 = 0

Move the constant term to the right:

Add '-3.428571429' to each side of the equation.
3.428571429 + -1.142857143p + -3.428571429 + p2 = 0 + -3.428571429

Reorder the terms:
3.428571429 + -3.428571429 + -1.142857143p + p2 = 0 + -3.428571429

Combine like terms: 3.428571429 + -3.428571429 = 0.000000000
0.000000000 + -1.142857143p + p2 = 0 + -3.428571429
-1.142857143p + p2 = 0 + -3.428571429

Combine like terms: 0 + -3.428571429 = -3.428571429
-1.142857143p + p2 = -3.428571429

The p term is -1.142857143p.  Take half its coefficient (-0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
-1.142857143p + 0.3265306123 + p2 = -3.428571429 + 0.3265306123

Reorder the terms:
0.3265306123 + -1.142857143p + p2 = -3.428571429 + 0.3265306123

Combine like terms: -3.428571429 + 0.3265306123 = -3.1020408167
0.3265306123 + -1.142857143p + p2 = -3.1020408167

Factor a perfect square on the left side:
(p + -0.5714285715)(p + -0.5714285715) = -3.1020408167

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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