5x+6x=6x^2+29-1

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Solution for 5x+6x=6x^2+29-1 equation: 


Simplifying
5x + 6x = 6x2 + 29 + -1

Combine like terms: 5x + 6x = 11x
11x = 6x2 + 29 + -1

Reorder the terms:
11x = 29 + -1 + 6x2

Combine like terms: 29 + -1 = 28
11x = 28 + 6x2

Solving
11x = 28 + 6x2

Solving for variable 'x'.

Reorder the terms:
-28 + 11x + -6x2 = 28 + 6x2 + -28 + -6x2

Reorder the terms:
-28 + 11x + -6x2 = 28 + -28 + 6x2 + -6x2

Combine like terms: 28 + -28 = 0
-28 + 11x + -6x2 = 0 + 6x2 + -6x2
-28 + 11x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-28 + 11x + -6x2 = 0

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

Divide each side by '-6'.
4.666666667 + -1.833333333x + x2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -1.833333333x + -4.666666667 + x2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -1.833333333x + x2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -1.833333333x + x2 = 0 + -4.666666667
-1.833333333x + x2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-1.833333333x + x2 = -4.666666667

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 = -4.666666667 + 0.8402777775

Reorder the terms:
0.8402777775 + -1.833333333x + x2 = -4.666666667 + 0.8402777775

Combine like terms: -4.666666667 + 0.8402777775 = -3.8263888895
0.8402777775 + -1.833333333x + x2 = -3.8263888895

Factor a perfect square on the left side:
(x + -0.9166666665)(x + -0.9166666665) = -3.8263888895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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