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Simplifying 13x2 + 8x + 2 = 0 Reorder the terms: 2 + 8x + 13x2 = 0 Solving 2 + 8x + 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 + 0.6153846154x + x2 = 0 Move the constant term to the right: Add '-0.1538461538' to each side of the equation. 0.1538461538 + 0.6153846154x + -0.1538461538 + x2 = 0 + -0.1538461538 Reorder the terms: 0.1538461538 + -0.1538461538 + 0.6153846154x + x2 = 0 + -0.1538461538 Combine like terms: 0.1538461538 + -0.1538461538 = 0.0000000000 0.0000000000 + 0.6153846154x + x2 = 0 + -0.1538461538 0.6153846154x + x2 = 0 + -0.1538461538 Combine like terms: 0 + -0.1538461538 = -0.1538461538 0.6153846154x + x2 = -0.1538461538 The x term is 0.6153846154x. Take half its coefficient (0.3076923077). Square it (0.09467455622) and add it to both sides. Add '0.09467455622' to each side of the equation. 0.6153846154x + 0.09467455622 + x2 = -0.1538461538 + 0.09467455622 Reorder the terms: 0.09467455622 + 0.6153846154x + x2 = -0.1538461538 + 0.09467455622 Combine like terms: -0.1538461538 + 0.09467455622 = -0.05917159758 0.09467455622 + 0.6153846154x + x2 = -0.05917159758 Factor a perfect square on the left side: (x + 0.3076923077)(x + 0.3076923077) = -0.05917159758 Can't calculate square root of the right side. The solution to this equation could not be determined.
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