6x^2+13x+8=0

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Solution for 6x^2+13x+8=0 equation:


Simplifying
6x2 + 13x + 8 = 0

Reorder the terms:
8 + 13x + 6x2 = 0

Solving
8 + 13x + 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 + 2.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 2.166666667x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 2.166666667x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 2.166666667x + x2 = 0 + -1.333333333
2.166666667x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
2.166666667x + x2 = -1.333333333

The x term is 2.166666667x.  Take half its coefficient (1.083333334).
Square it (1.173611113) and add it to both sides.

Add '1.173611113' to each side of the equation.
2.166666667x + 1.173611113 + x2 = -1.333333333 + 1.173611113

Reorder the terms:
1.173611113 + 2.166666667x + x2 = -1.333333333 + 1.173611113

Combine like terms: -1.333333333 + 1.173611113 = -0.15972222
1.173611113 + 2.166666667x + x2 = -0.15972222

Factor a perfect square on the left side:
(x + 1.083333334)(x + 1.083333334) = -0.15972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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