9u^2-12u+85=0

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Solution for 9u^2-12u+85=0 equation:


Simplifying
9u2 + -12u + 85 = 0

Reorder the terms:
85 + -12u + 9u2 = 0

Solving
85 + -12u + 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'.
9.444444444 + -1.333333333u + u2 = 0

Move the constant term to the right:

Add '-9.444444444' to each side of the equation.
9.444444444 + -1.333333333u + -9.444444444 + u2 = 0 + -9.444444444

Reorder the terms:
9.444444444 + -9.444444444 + -1.333333333u + u2 = 0 + -9.444444444

Combine like terms: 9.444444444 + -9.444444444 = 0.000000000
0.000000000 + -1.333333333u + u2 = 0 + -9.444444444
-1.333333333u + u2 = 0 + -9.444444444

Combine like terms: 0 + -9.444444444 = -9.444444444
-1.333333333u + u2 = -9.444444444

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 = -9.444444444 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333u + u2 = -9.444444444 + 0.4444444442

Combine like terms: -9.444444444 + 0.4444444442 = -8.9999999998
0.4444444442 + -1.333333333u + u2 = -8.9999999998

Factor a perfect square on the left side:
(u + -0.6666666665)(u + -0.6666666665) = -8.9999999998

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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