6x^2+17x+40=0

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Solution for 6x^2+17x+40=0 equation:


Simplifying
6x2 + 17x + 40 = 0

Reorder the terms:
40 + 17x + 6x2 = 0

Solving
40 + 17x + 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'.
6.666666667 + 2.833333333x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + 2.833333333x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + 2.833333333x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + 2.833333333x + x2 = 0 + -6.666666667
2.833333333x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
2.833333333x + x2 = -6.666666667

The x term is 2.833333333x.  Take half its coefficient (1.416666667).
Square it (2.006944445) and add it to both sides.

Add '2.006944445' to each side of the equation.
2.833333333x + 2.006944445 + x2 = -6.666666667 + 2.006944445

Reorder the terms:
2.006944445 + 2.833333333x + x2 = -6.666666667 + 2.006944445

Combine like terms: -6.666666667 + 2.006944445 = -4.659722222
2.006944445 + 2.833333333x + x2 = -4.659722222

Factor a perfect square on the left side:
(x + 1.416666667)(x + 1.416666667) = -4.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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