n^2+2n+93=0

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Solution for n^2+2n+93=0 equation:


Simplifying
n2 + 2n + 93 = 0

Reorder the terms:
93 + 2n + n2 = 0

Solving
93 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-93' to each side of the equation.
93 + 2n + -93 + n2 = 0 + -93

Reorder the terms:
93 + -93 + 2n + n2 = 0 + -93

Combine like terms: 93 + -93 = 0
0 + 2n + n2 = 0 + -93
2n + n2 = 0 + -93

Combine like terms: 0 + -93 = -93
2n + n2 = -93

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = -93 + 1

Reorder the terms:
1 + 2n + n2 = -93 + 1

Combine like terms: -93 + 1 = -92
1 + 2n + n2 = -92

Factor a perfect square on the left side:
(n + 1)(n + 1) = -92

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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