3u^2-u=-3

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Solution for 3u^2-u=-3 equation:


Simplifying
3u2 + -1u = -3

Reorder the terms:
-1u + 3u2 = -3

Solving
-1u + 3u2 = -3

Solving for variable 'u'.

Reorder the terms:
3 + -1u + 3u2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -1u + 3u2 = 0

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

Divide each side by '3'.
1 + -0.3333333333u + u2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.3333333333u + -1 + u2 = 0 + -1

Reorder the terms:
1 + -1 + -0.3333333333u + u2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.3333333333u + u2 = 0 + -1
-0.3333333333u + u2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.3333333333u + u2 = -1

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 = -1 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333u + u2 = -1 + 0.02777777779

Combine like terms: -1 + 0.02777777779 = -0.97222222221
0.02777777779 + -0.3333333333u + u2 = -0.97222222221

Factor a perfect square on the left side:
(u + -0.1666666667)(u + -0.1666666667) = -0.97222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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