0=-3u^2-16u-30

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Solution for 0=-3u^2-16u-30 equation: 


Simplifying
0 = -3u2 + -16u + -30

Reorder the terms:
0 = -30 + -16u + -3u2

Solving
0 = -30 + -16u + -3u2

Solving for variable 'u'.

Combine like terms: 0 + 30 = 30
30 + 16u + 3u2 = -30 + -16u + -3u2 + 30 + 16u + 3u2

Reorder the terms:
30 + 16u + 3u2 = -30 + 30 + -16u + 16u + -3u2 + 3u2

Combine like terms: -30 + 30 = 0
30 + 16u + 3u2 = 0 + -16u + 16u + -3u2 + 3u2
30 + 16u + 3u2 = -16u + 16u + -3u2 + 3u2

Combine like terms: -16u + 16u = 0
30 + 16u + 3u2 = 0 + -3u2 + 3u2
30 + 16u + 3u2 = -3u2 + 3u2

Combine like terms: -3u2 + 3u2 = 0
30 + 16u + 3u2 = 0

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

Divide each side by '3'.
10 + 5.333333333u + u2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 5.333333333u + -10 + u2 = 0 + -10

Reorder the terms:
10 + -10 + 5.333333333u + u2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5.333333333u + u2 = 0 + -10
5.333333333u + u2 = 0 + -10

Combine like terms: 0 + -10 = -10
5.333333333u + u2 = -10

The u term is 5.333333333u.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333u + 7.111111113 + u2 = -10 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333u + u2 = -10 + 7.111111113

Combine like terms: -10 + 7.111111113 = -2.888888887
7.111111113 + 5.333333333u + u2 = -2.888888887

Factor a perfect square on the left side:
(u + 2.666666667)(u + 2.666666667) = -2.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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