3x^2+19x+92=0

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Solution for 3x^2+19x+92=0 equation:


Simplifying
3x2 + 19x + 92 = 0

Reorder the terms:
92 + 19x + 3x2 = 0

Solving
92 + 19x + 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'.
30.66666667 + 6.333333333x + x2 = 0

Move the constant term to the right:

Add '-30.66666667' to each side of the equation.
30.66666667 + 6.333333333x + -30.66666667 + x2 = 0 + -30.66666667

Reorder the terms:
30.66666667 + -30.66666667 + 6.333333333x + x2 = 0 + -30.66666667

Combine like terms: 30.66666667 + -30.66666667 = 0.00000000
0.00000000 + 6.333333333x + x2 = 0 + -30.66666667
6.333333333x + x2 = 0 + -30.66666667

Combine like terms: 0 + -30.66666667 = -30.66666667
6.333333333x + x2 = -30.66666667

The x term is 6.333333333x.  Take half its coefficient (3.166666667).
Square it (10.02777778) and add it to both sides.

Add '10.02777778' to each side of the equation.
6.333333333x + 10.02777778 + x2 = -30.66666667 + 10.02777778

Reorder the terms:
10.02777778 + 6.333333333x + x2 = -30.66666667 + 10.02777778

Combine like terms: -30.66666667 + 10.02777778 = -20.63888889
10.02777778 + 6.333333333x + x2 = -20.63888889

Factor a perfect square on the left side:
(x + 3.166666667)(x + 3.166666667) = -20.63888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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