13x^2+6x+1=0

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Solution for 13x^2+6x+1=0 equation:


Simplifying
13x2 + 6x + 1 = 0

Reorder the terms:
1 + 6x + 13x2 = 0

Solving
1 + 6x + 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 + 0.4615384615x + x2 = 0

Move the constant term to the right:

Add '-0.07692307692' to each side of the equation.
0.07692307692 + 0.4615384615x + -0.07692307692 + x2 = 0 + -0.07692307692

Reorder the terms:
0.07692307692 + -0.07692307692 + 0.4615384615x + x2 = 0 + -0.07692307692

Combine like terms: 0.07692307692 + -0.07692307692 = 0.00000000000
0.00000000000 + 0.4615384615x + x2 = 0 + -0.07692307692
0.4615384615x + x2 = 0 + -0.07692307692

Combine like terms: 0 + -0.07692307692 = -0.07692307692
0.4615384615x + x2 = -0.07692307692

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 = -0.07692307692 + 0.05325443788

Reorder the terms:
0.05325443788 + 0.4615384615x + x2 = -0.07692307692 + 0.05325443788

Combine like terms: -0.07692307692 + 0.05325443788 = -0.02366863904
0.05325443788 + 0.4615384615x + x2 = -0.02366863904

Factor a perfect square on the left side:
(x + 0.2307692308)(x + 0.2307692308) = -0.02366863904

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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