13u^2+u+36=0

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Solution for 13u^2+u+36=0 equation:


Simplifying
13u2 + u + 36 = 0

Reorder the terms:
36 + u + 13u2 = 0

Solving
36 + u + 13u2 = 0

Solving for variable 'u'.

Begin completing the square.  Divide all terms by
13 the coefficient of the squared term: 

Divide each side by '13'.
2.769230769 + 0.07692307692u + u2 = 0

Move the constant term to the right:

Add '-2.769230769' to each side of the equation.
2.769230769 + 0.07692307692u + -2.769230769 + u2 = 0 + -2.769230769

Reorder the terms:
2.769230769 + -2.769230769 + 0.07692307692u + u2 = 0 + -2.769230769

Combine like terms: 2.769230769 + -2.769230769 = 0.000000000
0.000000000 + 0.07692307692u + u2 = 0 + -2.769230769
0.07692307692u + u2 = 0 + -2.769230769

Combine like terms: 0 + -2.769230769 = -2.769230769
0.07692307692u + u2 = -2.769230769

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.
0.07692307692u + 0.25 + u2 = -2.769230769 + 0.25

Reorder the terms:
0.25 + 0.07692307692u + u2 = -2.769230769 + 0.25

Combine like terms: -2.769230769 + 0.25 = -2.519230769
0.25 + 0.07692307692u + u2 = -2.519230769

Factor a perfect square on the left side:
(u + 0.5)(u + 0.5) = -2.519230769

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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