6x^2-8x+19=0

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Solution for 6x^2-8x+19=0 equation:


Simplifying
6x2 + -8x + 19 = 0

Reorder the terms:
19 + -8x + 6x2 = 0

Solving
19 + -8x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
3.166666667 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-3.166666667' to each side of the equation.
3.166666667 + -1.333333333x + -3.166666667 + x2 = 0 + -3.166666667

Reorder the terms:
3.166666667 + -3.166666667 + -1.333333333x + x2 = 0 + -3.166666667

Combine like terms: 3.166666667 + -3.166666667 = 0.000000000
0.000000000 + -1.333333333x + x2 = 0 + -3.166666667
-1.333333333x + x2 = 0 + -3.166666667

Combine like terms: 0 + -3.166666667 = -3.166666667
-1.333333333x + x2 = -3.166666667

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -3.166666667 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -3.166666667 + 0.4444444442

Combine like terms: -3.166666667 + 0.4444444442 = -2.7222222228
0.4444444442 + -1.333333333x + x2 = -2.7222222228

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -2.7222222228

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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