(6x^2)+(11x)+8=0

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Solution for (6x^2)+(11x)+8=0 equation:


Simplifying
(6x2) + (11x) + 8 = 0

Reorder the terms:
8 + (11x) + (6x2) = 0

Solving
8 + (11x) + (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'.
1.333333333 + (1.833333333x) + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + (1.833333333x) + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + (1.833333333x) + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + (1.833333333x) + x2 = 0 + -1.333333333
(1.833333333x) + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
(1.833333333x) + x2 = -1.333333333

The x term is (1.833333333x).  Take half its coefficient (0.9166666665).
Square it (0.8402777775) and add it to both sides.

Add '0.8402777775' to each side of the equation.
(1.833333333x) + 0.8402777775 + x2 = -1.333333333 + 0.8402777775

Reorder the terms:
0.8402777775 + (1.833333333x) + x2 = -1.333333333 + 0.8402777775

Combine like terms: -1.333333333 + 0.8402777775 = -0.4930555555
0.8402777775 + (1.833333333x) + x2 = -0.4930555555

Factor a perfect square on the left side:
((x) + 0.9166666665)((x) + 0.9166666665) = -0.4930555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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