9u^2-3u+25=0

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Solution for 9u^2-3u+25=0 equation:


Simplifying
9u2 + -3u + 25 = 0

Reorder the terms:
25 + -3u + 9u2 = 0

Solving
25 + -3u + 9u2 = 0

Solving for variable 'u'.

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

Divide each side by '9'.
2.777777778 + -0.3333333333u + u2 = 0

Move the constant term to the right:

Add '-2.777777778' to each side of the equation.
2.777777778 + -0.3333333333u + -2.777777778 + u2 = 0 + -2.777777778

Reorder the terms:
2.777777778 + -2.777777778 + -0.3333333333u + u2 = 0 + -2.777777778

Combine like terms: 2.777777778 + -2.777777778 = 0.000000000
0.000000000 + -0.3333333333u + u2 = 0 + -2.777777778
-0.3333333333u + u2 = 0 + -2.777777778

Combine like terms: 0 + -2.777777778 = -2.777777778
-0.3333333333u + u2 = -2.777777778

The u term is -0.3333333333u.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333u + 0.02777777779 + u2 = -2.777777778 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333u + u2 = -2.777777778 + 0.02777777779

Combine like terms: -2.777777778 + 0.02777777779 = -2.75000000021
0.02777777779 + -0.3333333333u + u2 = -2.75000000021

Factor a perfect square on the left side:
(u + -0.1666666667)(u + -0.1666666667) = -2.75000000021

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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