12X^2+22X+82=29

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Solution for 12X^2+22X+82=29 equation: 


Simplifying
12X2 + 22X + 82 = 29

Reorder the terms:
82 + 22X + 12X2 = 29

Solving
82 + 22X + 12X2 = 29

Solving for variable 'X'.

Reorder the terms:
82 + -29 + 22X + 12X2 = 29 + -29

Combine like terms: 82 + -29 = 53
53 + 22X + 12X2 = 29 + -29

Combine like terms: 29 + -29 = 0
53 + 22X + 12X2 = 0

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

Divide each side by '12'.
4.416666667 + 1.833333333X + X2 = 0

Move the constant term to the right:

Add '-4.416666667' to each side of the equation.
4.416666667 + 1.833333333X + -4.416666667 + X2 = 0 + -4.416666667

Reorder the terms:
4.416666667 + -4.416666667 + 1.833333333X + X2 = 0 + -4.416666667

Combine like terms: 4.416666667 + -4.416666667 = 0.000000000
0.000000000 + 1.833333333X + X2 = 0 + -4.416666667
1.833333333X + X2 = 0 + -4.416666667

Combine like terms: 0 + -4.416666667 = -4.416666667
1.833333333X + X2 = -4.416666667

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 = -4.416666667 + 0.8402777775

Reorder the terms:
0.8402777775 + 1.833333333X + X2 = -4.416666667 + 0.8402777775

Combine like terms: -4.416666667 + 0.8402777775 = -3.5763888895
0.8402777775 + 1.833333333X + X2 = -3.5763888895

Factor a perfect square on the left side:
(X + 0.9166666665)(X + 0.9166666665) = -3.5763888895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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