6u^2+8u+25=0

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Solution for 6u^2+8u+25=0 equation:


Simplifying
6u2 + 8u + 25 = 0

Reorder the terms:
25 + 8u + 6u2 = 0

Solving
25 + 8u + 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'.
4.166666667 + 1.333333333u + u2 = 0

Move the constant term to the right:

Add '-4.166666667' to each side of the equation.
4.166666667 + 1.333333333u + -4.166666667 + u2 = 0 + -4.166666667

Reorder the terms:
4.166666667 + -4.166666667 + 1.333333333u + u2 = 0 + -4.166666667

Combine like terms: 4.166666667 + -4.166666667 = 0.000000000
0.000000000 + 1.333333333u + u2 = 0 + -4.166666667
1.333333333u + u2 = 0 + -4.166666667

Combine like terms: 0 + -4.166666667 = -4.166666667
1.333333333u + u2 = -4.166666667

The u term is 1.333333333u.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333u + 0.4444444442 + u2 = -4.166666667 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333u + u2 = -4.166666667 + 0.4444444442

Combine like terms: -4.166666667 + 0.4444444442 = -3.7222222228
0.4444444442 + 1.333333333u + u2 = -3.7222222228

Factor a perfect square on the left side:
(u + 0.6666666665)(u + 0.6666666665) = -3.7222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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