3*x^2+29*x+137=0

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Solution for 3*x^2+29*x+137=0 equation:


Simplifying
3x2 + 29x + 137 = 0

Reorder the terms:
137 + 29x + 3x2 = 0

Solving
137 + 29x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
45.66666667 + 9.666666667x + x2 = 0

Move the constant term to the right:

Add '-45.66666667' to each side of the equation.
45.66666667 + 9.666666667x + -45.66666667 + x2 = 0 + -45.66666667

Reorder the terms:
45.66666667 + -45.66666667 + 9.666666667x + x2 = 0 + -45.66666667

Combine like terms: 45.66666667 + -45.66666667 = 0.00000000
0.00000000 + 9.666666667x + x2 = 0 + -45.66666667
9.666666667x + x2 = 0 + -45.66666667

Combine like terms: 0 + -45.66666667 = -45.66666667
9.666666667x + x2 = -45.66666667

The x term is 9.666666667x.  Take half its coefficient (4.833333334).
Square it (23.36111112) and add it to both sides.

Add '23.36111112' to each side of the equation.
9.666666667x + 23.36111112 + x2 = -45.66666667 + 23.36111112

Reorder the terms:
23.36111112 + 9.666666667x + x2 = -45.66666667 + 23.36111112

Combine like terms: -45.66666667 + 23.36111112 = -22.30555555
23.36111112 + 9.666666667x + x2 = -22.30555555

Factor a perfect square on the left side:
(x + 4.833333334)(x + 4.833333334) = -22.30555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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