6x^2+10=-11x

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Solution for 6x^2+10=-11x equation:


Simplifying
6x2 + 10 = -11x

Reorder the terms:
10 + 6x2 = -11x

Solving
10 + 6x2 = -11x

Solving for variable 'x'.

Reorder the terms:
10 + 11x + 6x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
10 + 11x + 6x2 = 0

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

Divide each side by '6'.
1.666666667 + 1.833333333x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + 1.833333333x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + 1.833333333x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + 1.833333333x + x2 = 0 + -1.666666667
1.833333333x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
1.833333333x + x2 = -1.666666667

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 = -1.666666667 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333x + x2 = -1.666666667 + 0.8402777775

Combine like terms: -1.666666667 + 0.8402777775 = -0.8263888895
0.8402777775 + 1.833333333x + x2 = -0.8263888895

Factor a perfect square on the left side:
(x + 0.9166666665)(x + 0.9166666665) = -0.8263888895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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