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Simplifying 0.13x(4x + -20) = 0.5x + -6 Reorder the terms: 0.13x(-20 + 4x) = 0.5x + -6 (-20 * 0.13x + 4x * 0.13x) = 0.5x + -6 (-2.6x + 0.52x2) = 0.5x + -6 Reorder the terms: -2.6x + 0.52x2 = -6 + 0.5x Solving -2.6x + 0.52x2 = -6 + 0.5x Solving for variable 'x'. Reorder the terms: 6 + -2.6x + -0.5x + 0.52x2 = -6 + 0.5x + 6 + -0.5x Combine like terms: -2.6x + -0.5x = -3.1x 6 + -3.1x + 0.52x2 = -6 + 0.5x + 6 + -0.5x Reorder the terms: 6 + -3.1x + 0.52x2 = -6 + 6 + 0.5x + -0.5x Combine like terms: -6 + 6 = 0 6 + -3.1x + 0.52x2 = 0 + 0.5x + -0.5x 6 + -3.1x + 0.52x2 = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + -3.1x + 0.52x2 = 0.0 Begin completing the square. Divide all terms by 0.52 the coefficient of the squared term: Divide each side by '0.52'. 11.53846154 + -5.961538462x + x2 = 0 Move the constant term to the right: Add '-11.53846154' to each side of the equation. 11.53846154 + -5.961538462x + -11.53846154 + x2 = 0 + -11.53846154 Reorder the terms: 11.53846154 + -11.53846154 + -5.961538462x + x2 = 0 + -11.53846154 Combine like terms: 11.53846154 + -11.53846154 = 0.00000000 0.00000000 + -5.961538462x + x2 = 0 + -11.53846154 -5.961538462x + x2 = 0 + -11.53846154 Combine like terms: 0 + -11.53846154 = -11.53846154 -5.961538462x + x2 = -11.53846154 The x term is -5.961538462x. Take half its coefficient (-2.980769231). Square it (8.884985208) and add it to both sides. Add '8.884985208' to each side of the equation. -5.961538462x + 8.884985208 + x2 = -11.53846154 + 8.884985208 Reorder the terms: 8.884985208 + -5.961538462x + x2 = -11.53846154 + 8.884985208 Combine like terms: -11.53846154 + 8.884985208 = -2.653476332 8.884985208 + -5.961538462x + x2 = -2.653476332 Factor a perfect square on the left side: (x + -2.980769231)(x + -2.980769231) = -2.653476332 Can't calculate square root of the right side. The solution to this equation could not be determined.
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