p^2+4p+29=0

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Solution for p^2+4p+29=0 equation:


Simplifying
p2 + 4p + 29 = 0

Reorder the terms:
29 + 4p + p2 = 0

Solving
29 + 4p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 4p + -29 + p2 = 0 + -29

Reorder the terms:
29 + -29 + 4p + p2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 4p + p2 = 0 + -29
4p + p2 = 0 + -29

Combine like terms: 0 + -29 = -29
4p + p2 = -29

The p term is 4p.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4p + 4 + p2 = -29 + 4

Reorder the terms:
4 + 4p + p2 = -29 + 4

Combine like terms: -29 + 4 = -25
4 + 4p + p2 = -25

Factor a perfect square on the left side:
(p + 2)(p + 2) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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