13x^2+14x+5=0

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Solution for 13x^2+14x+5=0 equation: 


Simplifying
13x2 + 14x + 5 = 0

Reorder the terms:
5 + 14x + 13x2 = 0

Solving
5 + 14x + 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'.
0.3846153846 + 1.076923077x + x2 = 0

Move the constant term to the right:

Add '-0.3846153846' to each side of the equation.
0.3846153846 + 1.076923077x + -0.3846153846 + x2 = 0 + -0.3846153846

Reorder the terms:
0.3846153846 + -0.3846153846 + 1.076923077x + x2 = 0 + -0.3846153846

Combine like terms: 0.3846153846 + -0.3846153846 = 0.0000000000
0.0000000000 + 1.076923077x + x2 = 0 + -0.3846153846
1.076923077x + x2 = 0 + -0.3846153846

Combine like terms: 0 + -0.3846153846 = -0.3846153846
1.076923077x + x2 = -0.3846153846

The x term is 1.076923077x.  Take half its coefficient (0.5384615385).
Square it (0.2899408284) and add it to both sides.

Add '0.2899408284' to each side of the equation.
1.076923077x + 0.2899408284 + x2 = -0.3846153846 + 0.2899408284

Reorder the terms:
0.2899408284 + 1.076923077x + x2 = -0.3846153846 + 0.2899408284

Combine like terms: -0.3846153846 + 0.2899408284 = -0.0946745562
0.2899408284 + 1.076923077x + x2 = -0.0946745562

Factor a perfect square on the left side:
(x + 0.5384615385)(x + 0.5384615385) = -0.0946745562

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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