3x^2-17x+80=0

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Solution for 3x^2-17x+80=0 equation: 


Simplifying
3x2 + -17x + 80 = 0

Reorder the terms:
80 + -17x + 3x2 = 0

Solving
80 + -17x + 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'.
26.66666667 + -5.666666667x + x2 = 0

Move the constant term to the right:

Add '-26.66666667' to each side of the equation.
26.66666667 + -5.666666667x + -26.66666667 + x2 = 0 + -26.66666667

Reorder the terms:
26.66666667 + -26.66666667 + -5.666666667x + x2 = 0 + -26.66666667

Combine like terms: 26.66666667 + -26.66666667 = 0.00000000
0.00000000 + -5.666666667x + x2 = 0 + -26.66666667
-5.666666667x + x2 = 0 + -26.66666667

Combine like terms: 0 + -26.66666667 = -26.66666667
-5.666666667x + x2 = -26.66666667

The x term is -5.666666667x.  Take half its coefficient (-2.833333334).
Square it (8.027777782) and add it to both sides.

Add '8.027777782' to each side of the equation.
-5.666666667x + 8.027777782 + x2 = -26.66666667 + 8.027777782

Reorder the terms:
8.027777782 + -5.666666667x + x2 = -26.66666667 + 8.027777782

Combine like terms: -26.66666667 + 8.027777782 = -18.638888888
8.027777782 + -5.666666667x + x2 = -18.638888888

Factor a perfect square on the left side:
(x + -2.833333334)(x + -2.833333334) = -18.638888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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