39x^2+18x+20=

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Solution for 39x^2+18x+20= equation:


Simplifying
39x2 + 18x + 20 = 0

Reorder the terms:
20 + 18x + 39x2 = 0

Solving
20 + 18x + 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'.
0.5128205128 + 0.4615384615x + x2 = 0

Move the constant term to the right:

Add '-0.5128205128' to each side of the equation.
0.5128205128 + 0.4615384615x + -0.5128205128 + x2 = 0 + -0.5128205128

Reorder the terms:
0.5128205128 + -0.5128205128 + 0.4615384615x + x2 = 0 + -0.5128205128

Combine like terms: 0.5128205128 + -0.5128205128 = 0.0000000000
0.0000000000 + 0.4615384615x + x2 = 0 + -0.5128205128
0.4615384615x + x2 = 0 + -0.5128205128

Combine like terms: 0 + -0.5128205128 = -0.5128205128
0.4615384615x + x2 = -0.5128205128

The x term is 0.4615384615x.  Take half its coefficient (0.2307692308).
Square it (0.05325443788) and add it to both sides.

Add '0.05325443788' to each side of the equation.
0.4615384615x + 0.05325443788 + x2 = -0.5128205128 + 0.05325443788

Reorder the terms:
0.05325443788 + 0.4615384615x + x2 = -0.5128205128 + 0.05325443788

Combine like terms: -0.5128205128 + 0.05325443788 = -0.45956607492
0.05325443788 + 0.4615384615x + x2 = -0.45956607492

Factor a perfect square on the left side:
(x + 0.2307692308)(x + 0.2307692308) = -0.45956607492

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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