3x^2+5x+86=0

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Solution for 3x^2+5x+86=0 equation:


Simplifying
3x2 + 5x + 86 = 0

Reorder the terms:
86 + 5x + 3x2 = 0

Solving
86 + 5x + 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'.
28.66666667 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '-28.66666667' to each side of the equation.
28.66666667 + 1.666666667x + -28.66666667 + x2 = 0 + -28.66666667

Reorder the terms:
28.66666667 + -28.66666667 + 1.666666667x + x2 = 0 + -28.66666667

Combine like terms: 28.66666667 + -28.66666667 = 0.00000000
0.00000000 + 1.666666667x + x2 = 0 + -28.66666667
1.666666667x + x2 = 0 + -28.66666667

Combine like terms: 0 + -28.66666667 = -28.66666667
1.666666667x + x2 = -28.66666667

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = -28.66666667 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = -28.66666667 + 0.6944444447

Combine like terms: -28.66666667 + 0.6944444447 = -27.9722222253
0.6944444447 + 1.666666667x + x2 = -27.9722222253

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = -27.9722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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