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Simplifying 13x2 + 3x + 2 = 0 Reorder the terms: 2 + 3x + 13x2 = 0 Solving 2 + 3x + 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'. 0.1538461538 + 0.2307692308x + x2 = 0 Move the constant term to the right: Add '-0.1538461538' to each side of the equation. 0.1538461538 + 0.2307692308x + -0.1538461538 + x2 = 0 + -0.1538461538 Reorder the terms: 0.1538461538 + -0.1538461538 + 0.2307692308x + x2 = 0 + -0.1538461538 Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000 0.0000000000 + 0.2307692308x + x2 = 0 + -0.1538461538 0.2307692308x + x2 = 0 + -0.1538461538 Combine like terms: 0 + -0.1538461538 = -0.1538461538 0.2307692308x + x2 = -0.1538461538 The x term is 0.2307692308x. Take half its coefficient (0.1153846154). Square it (0.01331360947) and add it to both sides. Add '0.01331360947' to each side of the equation. 0.2307692308x + 0.01331360947 + x2 = -0.1538461538 + 0.01331360947 Reorder the terms: 0.01331360947 + 0.2307692308x + x2 = -0.1538461538 + 0.01331360947 Combine like terms: -0.1538461538 + 0.01331360947 = -0.14053254433 0.01331360947 + 0.2307692308x + x2 = -0.14053254433 Factor a perfect square on the left side: (x + 0.1153846154)(x + 0.1153846154) = -0.14053254433 Can't calculate square root of the right side. The solution to this equation could not be determined.
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