13x^2+5x+1=0

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Solution for 13x^2+5x+1=0 equation: 


Simplifying
13x2 + 5x + 1 = 0

Reorder the terms:
1 + 5x + 13x2 = 0

Solving
1 + 5x + 13x2 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
0.07692307692 + 0.3846153846x + x2 = 0

Move the constant term to the right:

Add '-0.07692307692' to each side of the equation.
0.07692307692 + 0.3846153846x + -0.07692307692 + x2 = 0 + -0.07692307692

Reorder the terms:
0.07692307692 + -0.07692307692 + 0.3846153846x + x2 = 0 + -0.07692307692

Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000
0.00000000000 + 0.3846153846x + x2 = 0 + -0.07692307692
0.3846153846x + x2 = 0 + -0.07692307692

Combine like terms: 0 + -0.07692307692 = -0.07692307692
0.3846153846x + x2 = -0.07692307692

The x term is 0.3846153846x.  Take half its coefficient (0.1923076923).
Square it (0.03698224852) and add it to both sides.

Add '0.03698224852' to each side of the equation.
0.3846153846x + 0.03698224852 + x2 = -0.07692307692 + 0.03698224852

Reorder the terms:
0.03698224852 + 0.3846153846x + x2 = -0.07692307692 + 0.03698224852

Combine like terms: -0.07692307692 + 0.03698224852 = -0.0399408284
0.03698224852 + 0.3846153846x + x2 = -0.0399408284

Factor a perfect square on the left side:
(x + 0.1923076923)(x + 0.1923076923) = -0.0399408284

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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