11x^2-22x+24=0

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Solution for 11x^2-22x+24=0 equation:


Simplifying
11x2 + -22x + 24 = 0

Reorder the terms:
24 + -22x + 11x2 = 0

Solving
24 + -22x + 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'.
2.181818182 + -2x + x2 = 0

Move the constant term to the right:

Add '-2.181818182' to each side of the equation.
2.181818182 + -2x + -2.181818182 + x2 = 0 + -2.181818182

Reorder the terms:
2.181818182 + -2.181818182 + -2x + x2 = 0 + -2.181818182

Combine like terms: 2.181818182 + -2.181818182 = 0.000000000
0.000000000 + -2x + x2 = 0 + -2.181818182
-2x + x2 = 0 + -2.181818182

Combine like terms: 0 + -2.181818182 = -2.181818182
-2x + x2 = -2.181818182

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 = -2.181818182 + 1

Reorder the terms:
1 + -2x + x2 = -2.181818182 + 1

Combine like terms: -2.181818182 + 1 = -1.181818182
1 + -2x + x2 = -1.181818182

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1.181818182

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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