6d^2+11d+35=0

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Solution for 6d^2+11d+35=0 equation:


Simplifying
6d2 + 11d + 35 = 0

Reorder the terms:
35 + 11d + 6d2 = 0

Solving
35 + 11d + 6d2 = 0

Solving for variable 'd'.

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
5.833333333 + 1.833333333d + d2 = 0

Move the constant term to the right:

Add '-5.833333333' to each side of the equation.
5.833333333 + 1.833333333d + -5.833333333 + d2 = 0 + -5.833333333

Reorder the terms:
5.833333333 + -5.833333333 + 1.833333333d + d2 = 0 + -5.833333333

Combine like terms: 5.833333333 + -5.833333333 = 0.000000000
0.000000000 + 1.833333333d + d2 = 0 + -5.833333333
1.833333333d + d2 = 0 + -5.833333333

Combine like terms: 0 + -5.833333333 = -5.833333333
1.833333333d + d2 = -5.833333333

The d term is 1.833333333d.  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.
1.833333333d + 0.8402777775 + d2 = -5.833333333 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333d + d2 = -5.833333333 + 0.8402777775

Combine like terms: -5.833333333 + 0.8402777775 = -4.9930555555
0.8402777775 + 1.833333333d + d2 = -4.9930555555

Factor a perfect square on the left side:
(d + 0.9166666665)(d + 0.9166666665) = -4.9930555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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