6u(2-u)=7

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Solution for 6u(2-u)=7 equation:


Simplifying
6u(2 + -1u) = 7
(2 * 6u + -1u * 6u) = 7
(12u + -6u2) = 7

Solving
12u + -6u2 = 7

Solving for variable 'u'.

Reorder the terms:
-7 + 12u + -6u2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 12u + -6u2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.166666667 + -2u + u2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -2u + -1.166666667 + u2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -2u + u2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -2u + u2 = 0 + -1.166666667
-2u + u2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-2u + u2 = -1.166666667

The u term is -2u.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2u + 1 + u2 = -1.166666667 + 1

Reorder the terms:
1 + -2u + u2 = -1.166666667 + 1

Combine like terms: -1.166666667 + 1 = -0.166666667
1 + -2u + u2 = -0.166666667

Factor a perfect square on the left side:
(u + -1)(u + -1) = -0.166666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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