3p^2+29p+75=0

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Solution for 3p^2+29p+75=0 equation:


Simplifying
3p2 + 29p + 75 = 0

Reorder the terms:
75 + 29p + 3p2 = 0

Solving
75 + 29p + 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'.
25 + 9.666666667p + p2 = 0

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 9.666666667p + -25 + p2 = 0 + -25

Reorder the terms:
25 + -25 + 9.666666667p + p2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 9.666666667p + p2 = 0 + -25
9.666666667p + p2 = 0 + -25

Combine like terms: 0 + -25 = -25
9.666666667p + p2 = -25

The p term is 9.666666667p.  Take half its coefficient (4.833333334).
Square it (23.36111112) and add it to both sides.

Add '23.36111112' to each side of the equation.
9.666666667p + 23.36111112 + p2 = -25 + 23.36111112

Reorder the terms:
23.36111112 + 9.666666667p + p2 = -25 + 23.36111112

Combine like terms: -25 + 23.36111112 = -1.63888888
23.36111112 + 9.666666667p + p2 = -1.63888888

Factor a perfect square on the left side:
(p + 4.833333334)(p + 4.833333334) = -1.63888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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