11x(2-x)=51

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Solution for 11x(2-x)=51 equation:


Simplifying
11x(2 + -1x) = 51
(2 * 11x + -1x * 11x) = 51
(22x + -11x2) = 51

Solving
22x + -11x2 = 51

Solving for variable 'x'.

Reorder the terms:
-51 + 22x + -11x2 = 51 + -51

Combine like terms: 51 + -51 = 0
-51 + 22x + -11x2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
4.636363636 + -2x + x2 = 0

Move the constant term to the right:

Add '-4.636363636' to each side of the equation.
4.636363636 + -2x + -4.636363636 + x2 = 0 + -4.636363636

Reorder the terms:
4.636363636 + -4.636363636 + -2x + x2 = 0 + -4.636363636

Combine like terms: 4.636363636 + -4.636363636 = 0.000000000
0.000000000 + -2x + x2 = 0 + -4.636363636
-2x + x2 = 0 + -4.636363636

Combine like terms: 0 + -4.636363636 = -4.636363636
-2x + x2 = -4.636363636

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

Add '1' to each side of the equation.
-2x + 1 + x2 = -4.636363636 + 1

Reorder the terms:
1 + -2x + x2 = -4.636363636 + 1

Combine like terms: -4.636363636 + 1 = -3.636363636
1 + -2x + x2 = -3.636363636

Factor a perfect square on the left side:
(x + -1)(x + -1) = -3.636363636

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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