u^2+2u+64=0

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Solution for u^2+2u+64=0 equation:


Simplifying
u2 + 2u + 64 = 0

Reorder the terms:
64 + 2u + u2 = 0

Solving
64 + 2u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-64' to each side of the equation.
64 + 2u + -64 + u2 = 0 + -64

Reorder the terms:
64 + -64 + 2u + u2 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + 2u + u2 = 0 + -64
2u + u2 = 0 + -64

Combine like terms: 0 + -64 = -64
2u + u2 = -64

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

Add '1' to each side of the equation.
2u + 1 + u2 = -64 + 1

Reorder the terms:
1 + 2u + u2 = -64 + 1

Combine like terms: -64 + 1 = -63
1 + 2u + u2 = -63

Factor a perfect square on the left side:
(u + 1)(u + 1) = -63

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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