36x^2-480x+2459=0

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Solution for 36x^2-480x+2459=0 equation:


Simplifying
36x2 + -480x + 2459 = 0

Reorder the terms:
2459 + -480x + 36x2 = 0

Solving
2459 + -480x + 36x2 = 0

Solving for variable 'x'.

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

Divide each side by '36'.
68.30555556 + -13.33333333x + x2 = 0

Move the constant term to the right:

Add '-68.30555556' to each side of the equation.
68.30555556 + -13.33333333x + -68.30555556 + x2 = 0 + -68.30555556

Reorder the terms:
68.30555556 + -68.30555556 + -13.33333333x + x2 = 0 + -68.30555556

Combine like terms: 68.30555556 + -68.30555556 = 0.00000000
0.00000000 + -13.33333333x + x2 = 0 + -68.30555556
-13.33333333x + x2 = 0 + -68.30555556

Combine like terms: 0 + -68.30555556 = -68.30555556
-13.33333333x + x2 = -68.30555556

The x term is -13.33333333x.  Take half its coefficient (-6.666666665).
Square it (44.44444442) and add it to both sides.

Add '44.44444442' to each side of the equation.
-13.33333333x + 44.44444442 + x2 = -68.30555556 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = -68.30555556 + 44.44444442

Combine like terms: -68.30555556 + 44.44444442 = -23.86111114
44.44444442 + -13.33333333x + x2 = -23.86111114

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = -23.86111114

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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