39x^2+33x+8=0

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Solution for 39x^2+33x+8=0 equation: 


Simplifying
39x2 + 33x + 8 = 0

Reorder the terms:
8 + 33x + 39x2 = 0

Solving
8 + 33x + 39x2 = 0

Solving for variable 'x'.

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

Divide each side by '39'.
0.2051282051 + 0.8461538462x + x2 = 0

Move the constant term to the right:

Add '-0.2051282051' to each side of the equation.
0.2051282051 + 0.8461538462x + -0.2051282051 + x2 = 0 + -0.2051282051

Reorder the terms:
0.2051282051 + -0.2051282051 + 0.8461538462x + x2 = 0 + -0.2051282051

Combine like terms: 0.2051282051 + -0.2051282051 = 0.0000000000
0.0000000000 + 0.8461538462x + x2 = 0 + -0.2051282051
0.8461538462x + x2 = 0 + -0.2051282051

Combine like terms: 0 + -0.2051282051 = -0.2051282051
0.8461538462x + x2 = -0.2051282051

The x term is 0.8461538462x.  Take half its coefficient (0.4230769231).
Square it (0.1789940829) and add it to both sides.

Add '0.1789940829' to each side of the equation.
0.8461538462x + 0.1789940829 + x2 = -0.2051282051 + 0.1789940829

Reorder the terms:
0.1789940829 + 0.8461538462x + x2 = -0.2051282051 + 0.1789940829

Combine like terms: -0.2051282051 + 0.1789940829 = -0.0261341222
0.1789940829 + 0.8461538462x + x2 = -0.0261341222

Factor a perfect square on the left side:
(x + 0.4230769231)(x + 0.4230769231) = -0.0261341222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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