6x^2-19x+28=0

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Solution for 6x^2-19x+28=0 equation: 


Simplifying
6x2 + -19x + 28 = 0

Reorder the terms:
28 + -19x + 6x2 = 0

Solving
28 + -19x + 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'.
4.666666667 + -3.166666667x + x2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -3.166666667x + -4.666666667 + x2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -3.166666667x + x2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -3.166666667x + x2 = 0 + -4.666666667
-3.166666667x + x2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-3.166666667x + x2 = -4.666666667

The x term is -3.166666667x.  Take half its coefficient (-1.583333334).
Square it (2.506944447) and add it to both sides.

Add '2.506944447' to each side of the equation.
-3.166666667x + 2.506944447 + x2 = -4.666666667 + 2.506944447

Reorder the terms:
2.506944447 + -3.166666667x + x2 = -4.666666667 + 2.506944447

Combine like terms: -4.666666667 + 2.506944447 = -2.15972222
2.506944447 + -3.166666667x + x2 = -2.15972222

Factor a perfect square on the left side:
(x + -1.583333334)(x + -1.583333334) = -2.15972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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