u^2+u+18=0

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Solution for u^2+u+18=0 equation:


Simplifying
u2 + u + 18 = 0

Reorder the terms:
18 + u + u2 = 0

Solving
18 + u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + u + -18 + u2 = 0 + -18

Reorder the terms:
18 + -18 + u + u2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + u + u2 = 0 + -18
u + u2 = 0 + -18

Combine like terms: 0 + -18 = -18
u + u2 = -18

The u term is u.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
u + 0.25 + u2 = -18 + 0.25

Reorder the terms:
0.25 + u + u2 = -18 + 0.25

Combine like terms: -18 + 0.25 = -17.75
0.25 + u + u2 = -17.75

Factor a perfect square on the left side:
(u + 0.5)(u + 0.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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