n^2+2n+2=0

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


Simplifying
n2 + 2n + 2 = 0

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

Solving
2 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

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

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

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

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

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 = -2 + 1

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

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

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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