3u^2-7u+60=0

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Solution for 3u^2-7u+60=0 equation:


Simplifying
3u2 + -7u + 60 = 0

Reorder the terms:
60 + -7u + 3u2 = 0

Solving
60 + -7u + 3u2 = 0

Solving for variable 'u'.

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

Divide each side by '3'.
20 + -2.333333333u + u2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -2.333333333u + -20 + u2 = 0 + -20

Reorder the terms:
20 + -20 + -2.333333333u + u2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -2.333333333u + u2 = 0 + -20
-2.333333333u + u2 = 0 + -20

Combine like terms: 0 + -20 = -20
-2.333333333u + u2 = -20

The u term is -2.333333333u.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333u + 1.361111112 + u2 = -20 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333u + u2 = -20 + 1.361111112

Combine like terms: -20 + 1.361111112 = -18.638888888
1.361111112 + -2.333333333u + u2 = -18.638888888

Factor a perfect square on the left side:
(u + -1.166666667)(u + -1.166666667) = -18.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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