3u^2+5u+4=0

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Solution for 3u^2+5u+4=0 equation:


Simplifying
3u2 + 5u + 4 = 0

Reorder the terms:
4 + 5u + 3u2 = 0

Solving
4 + 5u + 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'.
1.333333333 + 1.666666667u + u2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 1.666666667u + -1.333333333 + u2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 1.666666667u + u2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 1.666666667u + u2 = 0 + -1.333333333
1.666666667u + u2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
1.666666667u + u2 = -1.333333333

The u term is 1.666666667u.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667u + 0.6944444447 + u2 = -1.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667u + u2 = -1.333333333 + 0.6944444447

Combine like terms: -1.333333333 + 0.6944444447 = -0.6388888883
0.6944444447 + 1.666666667u + u2 = -0.6388888883

Factor a perfect square on the left side:
(u + 0.8333333335)(u + 0.8333333335) = -0.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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