3x^2+8x+19=0

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Solution for 3x^2+8x+19=0 equation: 


Simplifying
3x2 + 8x + 19 = 0

Reorder the terms:
19 + 8x + 3x2 = 0

Solving
19 + 8x + 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'.
6.333333333 + 2.666666667x + x2 = 0

Move the constant term to the right:

Add '-6.333333333' to each side of the equation.
6.333333333 + 2.666666667x + -6.333333333 + x2 = 0 + -6.333333333

Reorder the terms:
6.333333333 + -6.333333333 + 2.666666667x + x2 = 0 + -6.333333333

Combine like terms: 6.333333333 + -6.333333333 = 0.000000000
0.000000000 + 2.666666667x + x2 = 0 + -6.333333333
2.666666667x + x2 = 0 + -6.333333333

Combine like terms: 0 + -6.333333333 = -6.333333333
2.666666667x + x2 = -6.333333333

The x term is 2.666666667x.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667x + 1.777777780 + x2 = -6.333333333 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667x + x2 = -6.333333333 + 1.777777780

Combine like terms: -6.333333333 + 1.777777780 = -4.555555553
1.777777780 + 2.666666667x + x2 = -4.555555553

Factor a perfect square on the left side:
(x + 1.333333334)(x + 1.333333334) = -4.555555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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