p^2+6p+121=0

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Solution for p^2+6p+121=0 equation:


Simplifying
p2 + 6p + 121 = 0

Reorder the terms:
121 + 6p + p2 = 0

Solving
121 + 6p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-121' to each side of the equation.
121 + 6p + -121 + p2 = 0 + -121

Reorder the terms:
121 + -121 + 6p + p2 = 0 + -121

Combine like terms: 121 + -121 = 0
0 + 6p + p2 = 0 + -121
6p + p2 = 0 + -121

Combine like terms: 0 + -121 = -121
6p + p2 = -121

The p term is 6p.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6p + 9 + p2 = -121 + 9

Reorder the terms:
9 + 6p + p2 = -121 + 9

Combine like terms: -121 + 9 = -112
9 + 6p + p2 = -112

Factor a perfect square on the left side:
(p + 3)(p + 3) = -112

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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