39X^2+3X+7=0

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


Simplifying
39X2 + 3X + 7 = 0

Reorder the terms:
7 + 3X + 39X2 = 0

Solving
7 + 3X + 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'.
0.1794871795 + 0.07692307692X + X2 = 0

Move the constant term to the right:

Add '-0.1794871795' to each side of the equation.
0.1794871795 + 0.07692307692X + -0.1794871795 + X2 = 0 + -0.1794871795

Reorder the terms:
0.1794871795 + -0.1794871795 + 0.07692307692X + X2 = 0 + -0.1794871795

Combine like terms: 0.1794871795 + -0.1794871795 = 0.0000000000
0.0000000000 + 0.07692307692X + X2 = 0 + -0.1794871795
0.07692307692X + X2 = 0 + -0.1794871795

Combine like terms: 0 + -0.1794871795 = -0.1794871795
0.07692307692X + X2 = -0.1794871795

The X term is 0.07692307692X.  Take half its coefficient (0.03846153846).
Square it (0.001479289941) and add it to both sides.

Add '0.001479289941' to each side of the equation.
0.07692307692X + 0.001479289941 + X2 = -0.1794871795 + 0.001479289941

Reorder the terms:
0.001479289941 + 0.07692307692X + X2 = -0.1794871795 + 0.001479289941

Combine like terms: -0.1794871795 + 0.001479289941 = -0.178007889559
0.001479289941 + 0.07692307692X + X2 = -0.178007889559

Factor a perfect square on the left side:
(X + 0.03846153846)(X + 0.03846153846) = -0.178007889559

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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