3x^2+26x+73=0

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Solution for 3x^2+26x+73=0 equation:


Simplifying
3x2 + 26x + 73 = 0

Reorder the terms:
73 + 26x + 3x2 = 0

Solving
73 + 26x + 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'.
24.33333333 + 8.666666667x + x2 = 0

Move the constant term to the right:

Add '-24.33333333' to each side of the equation.
24.33333333 + 8.666666667x + -24.33333333 + x2 = 0 + -24.33333333

Reorder the terms:
24.33333333 + -24.33333333 + 8.666666667x + x2 = 0 + -24.33333333

Combine like terms: 24.33333333 + -24.33333333 = 0.00000000
0.00000000 + 8.666666667x + x2 = 0 + -24.33333333
8.666666667x + x2 = 0 + -24.33333333

Combine like terms: 0 + -24.33333333 = -24.33333333
8.666666667x + x2 = -24.33333333

The x term is 8.666666667x.  Take half its coefficient (4.333333334).
Square it (18.77777778) and add it to both sides.

Add '18.77777778' to each side of the equation.
8.666666667x + 18.77777778 + x2 = -24.33333333 + 18.77777778

Reorder the terms:
18.77777778 + 8.666666667x + x2 = -24.33333333 + 18.77777778

Combine like terms: -24.33333333 + 18.77777778 = -5.55555555
18.77777778 + 8.666666667x + x2 = -5.55555555

Factor a perfect square on the left side:
(x + 4.333333334)(x + 4.333333334) = -5.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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