3x(4-x)-11=2x-x(2-3x)

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Solution for 3x(4-x)-11=2x-x(2-3x) equation: 


Simplifying
3x(4 + -1x) + -11 = 2x + -1x(2 + -3x)
(4 * 3x + -1x * 3x) + -11 = 2x + -1x(2 + -3x)
(12x + -3x2) + -11 = 2x + -1x(2 + -3x)

Reorder the terms:
-11 + 12x + -3x2 = 2x + -1x(2 + -3x)
-11 + 12x + -3x2 = 2x + (2 * -1x + -3x * -1x)
-11 + 12x + -3x2 = 2x + (-2x + 3x2)

Combine like terms: 2x + -2x = 0
-11 + 12x + -3x2 = 0 + 3x2
-11 + 12x + -3x2 = 3x2

Solving
-11 + 12x + -3x2 = 3x2

Solving for variable 'x'.

Combine like terms: -3x2 + -3x2 = -6x2
-11 + 12x + -6x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-11 + 12x + -6x2 = 0

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

Divide each side by '-6'.
1.833333333 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + -2x + -1.833333333 + x2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + -2x + x2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + -2x + x2 = 0 + -1.833333333
-2x + x2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
-2x + x2 = -1.833333333

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 = -1.833333333 + 1

Reorder the terms:
1 + -2x + x2 = -1.833333333 + 1

Combine like terms: -1.833333333 + 1 = -0.833333333
1 + -2x + x2 = -0.833333333

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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