39x^2-7x+3=0

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Solution for 39x^2-7x+3=0 equation:


Simplifying
39x2 + -7x + 3 = 0

Reorder the terms:
3 + -7x + 39x2 = 0

Solving
3 + -7x + 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'.
0.07692307692 + -0.1794871795x + x2 = 0

Move the constant term to the right:

Add '-0.07692307692' to each side of the equation.
0.07692307692 + -0.1794871795x + -0.07692307692 + x2 = 0 + -0.07692307692

Reorder the terms:
0.07692307692 + -0.07692307692 + -0.1794871795x + x2 = 0 + -0.07692307692

Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000
0.00000000000 + -0.1794871795x + x2 = 0 + -0.07692307692
-0.1794871795x + x2 = 0 + -0.07692307692

Combine like terms: 0 + -0.07692307692 = -0.07692307692
-0.1794871795x + x2 = -0.07692307692

The x term is -0.1794871795x.  Take half its coefficient (-0.08974358975).
Square it (0.008053911901) and add it to both sides.

Add '0.008053911901' to each side of the equation.
-0.1794871795x + 0.008053911901 + x2 = -0.07692307692 + 0.008053911901

Reorder the terms:
0.008053911901 + -0.1794871795x + x2 = -0.07692307692 + 0.008053911901

Combine like terms: -0.07692307692 + 0.008053911901 = -0.068869165019
0.008053911901 + -0.1794871795x + x2 = -0.068869165019

Factor a perfect square on the left side:
(x + -0.08974358975)(x + -0.08974358975) = -0.068869165019

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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