3u-7u^2=6

Solution for 3u-7u^2=6 equation:

Simplifying
3u + -7u2 = 6

Solving
3u + -7u2 = 6

Solving for variable 'u'.

Reorder the terms:
-6 + 3u + -7u2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 3u + -7u2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
0.8571428571 + -0.4285714286u + u2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + -0.4285714286u + -0.8571428571 + u2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + -0.4285714286u + u2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + -0.4285714286u + u2 = 0 + -0.8571428571
-0.4285714286u + u2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
-0.4285714286u + u2 = -0.8571428571

The u term is -0.4285714286u.  Take half its coefficient (-0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
-0.4285714286u + 0.04591836735 + u2 = -0.8571428571 + 0.04591836735

Reorder the terms:
0.04591836735 + -0.4285714286u + u2 = -0.8571428571 + 0.04591836735

Combine like terms: -0.8571428571 + 0.04591836735 = -0.81122448975
0.04591836735 + -0.4285714286u + u2 = -0.81122448975

Factor a perfect square on the left side:
(u + -0.2142857143)(u + -0.2142857143) = -0.81122448975

Can't calculate square root of the right side.

The solution to this equation could not be determined.