(3u^2-2u+7)=

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Solution for (3u^2-2u+7)= equation:


Simplifying
(3u2 + -2u + 7) = 0

Reorder the terms:
(7 + -2u + 3u2) = 0

Remove parenthesis around (7 + -2u + 3u2)
7 + -2u + 3u2 = 0

Solving
7 + -2u + 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'.
2.333333333 + -0.6666666667u + u2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.6666666667u + -2.333333333 + u2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.6666666667u + u2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.6666666667u + u2 = 0 + -2.333333333
-0.6666666667u + u2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.6666666667u + u2 = -2.333333333

The u term is -0.6666666667u.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667u + 0.1111111112 + u2 = -2.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667u + u2 = -2.333333333 + 0.1111111112

Combine like terms: -2.333333333 + 0.1111111112 = -2.2222222218
0.1111111112 + -0.6666666667u + u2 = -2.2222222218

Factor a perfect square on the left side:
(u + -0.3333333334)(u + -0.3333333334) = -2.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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