13x^2-5x+14=0

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


Simplifying
13x2 + -5x + 14 = 0

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

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

Move the constant term to the right:

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

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

Combine like terms: 1.076923077 + -1.076923077 = 0.000000000
0.000000000 + -0.3846153846x + x2 = 0 + -1.076923077
-0.3846153846x + x2 = 0 + -1.076923077

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

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 = -1.076923077 + 0.03698224852

Reorder the terms:
0.03698224852 + -0.3846153846x + x2 = -1.076923077 + 0.03698224852

Combine like terms: -1.076923077 + 0.03698224852 = -1.03994082848
0.03698224852 + -0.3846153846x + x2 = -1.03994082848

Factor a perfect square on the left side:
(x + -0.1923076923)(x + -0.1923076923) = -1.03994082848

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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