11x^2-24x+44=0

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Solution for 11x^2-24x+44=0 equation:


Simplifying
11x2 + -24x + 44 = 0

Reorder the terms:
44 + -24x + 11x2 = 0

Solving
44 + -24x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
4 + -2.181818182x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -2.181818182x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -2.181818182x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2.181818182x + x2 = 0 + -4
-2.181818182x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-2.181818182x + x2 = -4

The x term is -2.181818182x.  Take half its coefficient (-1.090909091).
Square it (1.190082645) and add it to both sides.

Add '1.190082645' to each side of the equation.
-2.181818182x + 1.190082645 + x2 = -4 + 1.190082645

Reorder the terms:
1.190082645 + -2.181818182x + x2 = -4 + 1.190082645

Combine like terms: -4 + 1.190082645 = -2.809917355
1.190082645 + -2.181818182x + x2 = -2.809917355

Factor a perfect square on the left side:
(x + -1.090909091)(x + -1.090909091) = -2.809917355

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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