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Simplifying 13x(-4x + 2) = 0.5x + 6 Reorder the terms: 13x(2 + -4x) = 0.5x + 6 (2 * 13x + -4x * 13x) = 0.5x + 6 (26x + -52x2) = 0.5x + 6 Reorder the terms: 26x + -52x2 = 6 + 0.5x Solving 26x + -52x2 = 6 + 0.5x Solving for variable 'x'. Reorder the terms: -6 + 26x + -0.5x + -52x2 = 6 + 0.5x + -6 + -0.5x Combine like terms: 26x + -0.5x = 25.5x -6 + 25.5x + -52x2 = 6 + 0.5x + -6 + -0.5x Reorder the terms: -6 + 25.5x + -52x2 = 6 + -6 + 0.5x + -0.5x Combine like terms: 6 + -6 = 0 -6 + 25.5x + -52x2 = 0 + 0.5x + -0.5x -6 + 25.5x + -52x2 = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -6 + 25.5x + -52x2 = 0.0 Begin completing the square. Divide all terms by -52 the coefficient of the squared term: Divide each side by '-52'. 0.1153846154 + -0.4903846154x + x2 = 0.0 Move the constant term to the right: Add '-0.1153846154' to each side of the equation. 0.1153846154 + -0.4903846154x + -0.1153846154 + x2 = 0.0 + -0.1153846154 Reorder the terms: 0.1153846154 + -0.1153846154 + -0.4903846154x + x2 = 0.0 + -0.1153846154 Combine like terms: 0.1153846154 + -0.1153846154 = 0.0000000000 0.0000000000 + -0.4903846154x + x2 = 0.0 + -0.1153846154 -0.4903846154x + x2 = 0.0 + -0.1153846154 Combine like terms: 0.0 + -0.1153846154 = -0.1153846154 -0.4903846154x + x2 = -0.1153846154 The x term is -0.4903846154x. Take half its coefficient (-0.2451923077). Square it (0.06011926776) and add it to both sides. Add '0.06011926776' to each side of the equation. -0.4903846154x + 0.06011926776 + x2 = -0.1153846154 + 0.06011926776 Reorder the terms: 0.06011926776 + -0.4903846154x + x2 = -0.1153846154 + 0.06011926776 Combine like terms: -0.1153846154 + 0.06011926776 = -0.05526534764 0.06011926776 + -0.4903846154x + x2 = -0.05526534764 Factor a perfect square on the left side: (x + -0.2451923077)(x + -0.2451923077) = -0.05526534764 Can't calculate square root of the right side. The solution to this equation could not be determined.
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