9u^2-8u+36=0

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Solution for 9u^2-8u+36=0 equation:


Simplifying
9u2 + -8u + 36 = 0

Reorder the terms:
36 + -8u + 9u2 = 0

Solving
36 + -8u + 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'.
4 + -0.8888888889u + u2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.8888888889u + -4 + u2 = 0 + -4

Reorder the terms:
4 + -4 + -0.8888888889u + u2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.8888888889u + u2 = 0 + -4
-0.8888888889u + u2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.8888888889u + u2 = -4

The u term is -0.8888888889u.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889u + 0.1975308642 + u2 = -4 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889u + u2 = -4 + 0.1975308642

Combine like terms: -4 + 0.1975308642 = -3.8024691358
0.1975308642 + -0.8888888889u + u2 = -3.8024691358

Factor a perfect square on the left side:
(u + -0.4444444445)(u + -0.4444444445) = -3.8024691358

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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