6u^2+4u+13=0

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Solution for 6u^2+4u+13=0 equation: 


Simplifying
6u2 + 4u + 13 = 0

Reorder the terms:
13 + 4u + 6u2 = 0

Solving
13 + 4u + 6u2 = 0

Solving for variable 'u'.

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

Divide each side by '6'.
2.166666667 + 0.6666666667u + u2 = 0

Move the constant term to the right:

Add '-2.166666667' to each side of the equation.
2.166666667 + 0.6666666667u + -2.166666667 + u2 = 0 + -2.166666667

Reorder the terms:
2.166666667 + -2.166666667 + 0.6666666667u + u2 = 0 + -2.166666667

Combine like terms: 2.166666667 + -2.166666667 = 0.000000000
0.000000000 + 0.6666666667u + u2 = 0 + -2.166666667
0.6666666667u + u2 = 0 + -2.166666667

Combine like terms: 0 + -2.166666667 = -2.166666667
0.6666666667u + u2 = -2.166666667

The u term is 0.6666666667u.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667u + 0.1111111112 + u2 = -2.166666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667u + u2 = -2.166666667 + 0.1111111112

Combine like terms: -2.166666667 + 0.1111111112 = -2.0555555558
0.1111111112 + 0.6666666667u + u2 = -2.0555555558

Factor a perfect square on the left side:
(u + 0.3333333334)(u + 0.3333333334) = -2.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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