3x^2-20x+50=0

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Solution for 3x^2-20x+50=0 equation: 


Simplifying
3x2 + -20x + 50 = 0

Reorder the terms:
50 + -20x + 3x2 = 0

Solving
50 + -20x + 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'.
16.66666667 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + -6.666666667x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + -6.666666667x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + -6.666666667x + x2 = 0 + -16.66666667
-6.666666667x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
-6.666666667x + x2 = -16.66666667

The x term is -6.666666667x.  Take half its coefficient (-3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
-6.666666667x + 11.11111112 + x2 = -16.66666667 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -16.66666667 + 11.11111112

Combine like terms: -16.66666667 + 11.11111112 = -5.55555555
11.11111112 + -6.666666667x + x2 = -5.55555555

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = -5.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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