3x^2-20x+34=00

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Solution for 3x^2-20x+34=00 equation:


Simplifying
3x2 + -20x + 34 = 0

Reorder the terms:
34 + -20x + 3x2 = 0

Solving
34 + -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'.
11.33333333 + -6.666666667x + x2 = 0

Move the constant term to the right:

Add '-11.33333333' to each side of the equation.
11.33333333 + -6.666666667x + -11.33333333 + x2 = 0 + -11.33333333

Reorder the terms:
11.33333333 + -11.33333333 + -6.666666667x + x2 = 0 + -11.33333333

Combine like terms: 11.33333333 + -11.33333333 = 0.00000000
0.00000000 + -6.666666667x + x2 = 0 + -11.33333333
-6.666666667x + x2 = 0 + -11.33333333

Combine like terms: 0 + -11.33333333 = -11.33333333
-6.666666667x + x2 = -11.33333333

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 = -11.33333333 + 11.11111112

Reorder the terms:
11.11111112 + -6.666666667x + x2 = -11.33333333 + 11.11111112

Combine like terms: -11.33333333 + 11.11111112 = -0.22222221
11.11111112 + -6.666666667x + x2 = -0.22222221

Factor a perfect square on the left side:
(x + -3.333333334)(x + -3.333333334) = -0.22222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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