49x^2+7x+1=0

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Solution for 49x^2+7x+1=0 equation: 


Simplifying
49x2 + 7x + 1 = 0

Reorder the terms:
1 + 7x + 49x2 = 0

Solving
1 + 7x + 49x2 = 0

Solving for variable 'x'.

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

Divide each side by '49'.
0.02040816327 + 0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-0.02040816327' to each side of the equation.
0.02040816327 + 0.1428571429x + -0.02040816327 + x2 = 0 + -0.02040816327

Reorder the terms:
0.02040816327 + -0.02040816327 + 0.1428571429x + x2 = 0 + -0.02040816327

Combine like terms: 0.02040816327 + -0.02040816327 = 0.00000000000
0.00000000000 + 0.1428571429x + x2 = 0 + -0.02040816327
0.1428571429x + x2 = 0 + -0.02040816327

Combine like terms: 0 + -0.02040816327 = -0.02040816327
0.1428571429x + x2 = -0.02040816327

The x term is 0.1428571429x.  Take half its coefficient (0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
0.1428571429x + 0.005102040819 + x2 = -0.02040816327 + 0.005102040819

Reorder the terms:
0.005102040819 + 0.1428571429x + x2 = -0.02040816327 + 0.005102040819

Combine like terms: -0.02040816327 + 0.005102040819 = -0.015306122451
0.005102040819 + 0.1428571429x + x2 = -0.015306122451

Factor a perfect square on the left side:
(x + 0.07142857145)(x + 0.07142857145) = -0.015306122451

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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