11x^2-24x+63=0

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Solution for 11x^2-24x+63=0 equation:


Simplifying
11x2 + -24x + 63 = 0

Reorder the terms:
63 + -24x + 11x2 = 0

Solving
63 + -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'.
5.727272727 + -2.181818182x + x2 = 0

Move the constant term to the right:

Add '-5.727272727' to each side of the equation.
5.727272727 + -2.181818182x + -5.727272727 + x2 = 0 + -5.727272727

Reorder the terms:
5.727272727 + -5.727272727 + -2.181818182x + x2 = 0 + -5.727272727

Combine like terms: 5.727272727 + -5.727272727 = 0.000000000
0.000000000 + -2.181818182x + x2 = 0 + -5.727272727
-2.181818182x + x2 = 0 + -5.727272727

Combine like terms: 0 + -5.727272727 = -5.727272727
-2.181818182x + x2 = -5.727272727

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 = -5.727272727 + 1.190082645

Reorder the terms:
1.190082645 + -2.181818182x + x2 = -5.727272727 + 1.190082645

Combine like terms: -5.727272727 + 1.190082645 = -4.537190082
1.190082645 + -2.181818182x + x2 = -4.537190082

Factor a perfect square on the left side:
(x + -1.090909091)(x + -1.090909091) = -4.537190082

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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