3x^2-40x+500=0

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Solution for 3x^2-40x+500=0 equation:


Simplifying
3x2 + -40x + 500 = 0

Reorder the terms:
500 + -40x + 3x2 = 0

Solving
500 + -40x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
166.6666667 + -13.33333333x + x2 = 0

Move the constant term to the right:

Add '-166.6666667' to each side of the equation.
166.6666667 + -13.33333333x + -166.6666667 + x2 = 0 + -166.6666667

Reorder the terms:
166.6666667 + -166.6666667 + -13.33333333x + x2 = 0 + -166.6666667

Combine like terms: 166.6666667 + -166.6666667 = 0.0000000
0.0000000 + -13.33333333x + x2 = 0 + -166.6666667
-13.33333333x + x2 = 0 + -166.6666667

Combine like terms: 0 + -166.6666667 = -166.6666667
-13.33333333x + x2 = -166.6666667

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 = -166.6666667 + 44.44444442

Reorder the terms:
44.44444442 + -13.33333333x + x2 = -166.6666667 + 44.44444442

Combine like terms: -166.6666667 + 44.44444442 = -122.22222228
44.44444442 + -13.33333333x + x2 = -122.22222228

Factor a perfect square on the left side:
(x + -6.666666665)(x + -6.666666665) = -122.22222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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