u^2+11u+128=0

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Solution for u^2+11u+128=0 equation:


Simplifying
u2 + 11u + 128 = 0

Reorder the terms:
128 + 11u + u2 = 0

Solving
128 + 11u + u2 = 0

Solving for variable 'u'.

Begin completing the square.

Move the constant term to the right:

Add '-128' to each side of the equation.
128 + 11u + -128 + u2 = 0 + -128

Reorder the terms:
128 + -128 + 11u + u2 = 0 + -128

Combine like terms: 128 + -128 = 0
0 + 11u + u2 = 0 + -128
11u + u2 = 0 + -128

Combine like terms: 0 + -128 = -128
11u + u2 = -128

The u term is 11u.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11u + 30.25 + u2 = -128 + 30.25

Reorder the terms:
30.25 + 11u + u2 = -128 + 30.25

Combine like terms: -128 + 30.25 = -97.75
30.25 + 11u + u2 = -97.75

Factor a perfect square on the left side:
(u + 5.5)(u + 5.5) = -97.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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