9x^2-20x+50=0

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Solution for 9x^2-20x+50=0 equation:


Simplifying
9x2 + -20x + 50 = 0

Reorder the terms:
50 + -20x + 9x2 = 0

Solving
50 + -20x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
5.555555556 + -2.222222222x + x2 = 0

Move the constant term to the right:

Add '-5.555555556' to each side of the equation.
5.555555556 + -2.222222222x + -5.555555556 + x2 = 0 + -5.555555556

Reorder the terms:
5.555555556 + -5.555555556 + -2.222222222x + x2 = 0 + -5.555555556

Combine like terms: 5.555555556 + -5.555555556 = 0.000000000
0.000000000 + -2.222222222x + x2 = 0 + -5.555555556
-2.222222222x + x2 = 0 + -5.555555556

Combine like terms: 0 + -5.555555556 = -5.555555556
-2.222222222x + x2 = -5.555555556

The x term is -2.222222222x.  Take half its coefficient (-1.111111111).
Square it (1.234567901) and add it to both sides.

Add '1.234567901' to each side of the equation.
-2.222222222x + 1.234567901 + x2 = -5.555555556 + 1.234567901

Reorder the terms:
1.234567901 + -2.222222222x + x2 = -5.555555556 + 1.234567901

Combine like terms: -5.555555556 + 1.234567901 = -4.320987655
1.234567901 + -2.222222222x + x2 = -4.320987655

Factor a perfect square on the left side:
(x + -1.111111111)(x + -1.111111111) = -4.320987655

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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