3x^2-18x+50=0

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Solution for 3x^2-18x+50=0 equation:


Simplifying
3x2 + -18x + 50 = 0

Reorder the terms:
50 + -18x + 3x2 = 0

Solving
50 + -18x + 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 + -6x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + -6x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + -6x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + -6x + x2 = 0 + -16.66666667
-6x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
-6x + x2 = -16.66666667

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -16.66666667 + 9

Reorder the terms:
9 + -6x + x2 = -16.66666667 + 9

Combine like terms: -16.66666667 + 9 = -7.66666667
9 + -6x + x2 = -7.66666667

Factor a perfect square on the left side:
(x + -3)(x + -3) = -7.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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