u-4-6-3u^2+4u=0

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Solution for u-4-6-3u^2+4u=0 equation: 


Simplifying
u + -4 + -6 + -3u2 + 4u = 0

Reorder the terms:
-4 + -6 + u + 4u + -3u2 = 0

Combine like terms: -4 + -6 = -10
-10 + u + 4u + -3u2 = 0

Combine like terms: u + 4u = 5u
-10 + 5u + -3u2 = 0

Solving
-10 + 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'.
3.333333333 + -1.666666667u + u2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -1.666666667u + -3.333333333 + u2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -1.666666667u + u2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -1.666666667u + u2 = 0 + -3.333333333
-1.666666667u + u2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-1.666666667u + u2 = -3.333333333

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 = -3.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667u + u2 = -3.333333333 + 0.6944444447

Combine like terms: -3.333333333 + 0.6944444447 = -2.6388888883
0.6944444447 + -1.666666667u + u2 = -2.6388888883

Factor a perfect square on the left side:
(u + -0.8333333335)(u + -0.8333333335) = -2.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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