p^2+5p+7=0

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Solution for p^2+5p+7=0 equation:


Simplifying
p2 + 5p + 7 = 0

Reorder the terms:
7 + 5p + p2 = 0

Solving
7 + 5p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 5p + -7 + p2 = 0 + -7

Reorder the terms:
7 + -7 + 5p + p2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5p + p2 = 0 + -7
5p + p2 = 0 + -7

Combine like terms: 0 + -7 = -7
5p + p2 = -7

The p term is 5p.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5p + 6.25 + p2 = -7 + 6.25

Reorder the terms:
6.25 + 5p + p2 = -7 + 6.25

Combine like terms: -7 + 6.25 = -0.75
6.25 + 5p + p2 = -0.75

Factor a perfect square on the left side:
(p + 2.5)(p + 2.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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