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Simplifying 0.0085x2 + -1.5x + 120 = 0 Reorder the terms: 120 + -1.5x + 0.0085x2 = 0 Solving 120 + -1.5x + 0.0085x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0085 the coefficient of the squared term: Divide each side by '0.0085'. 14117.64706 + -176.4705882x + x2 = 0 Move the constant term to the right: Add '-14117.64706' to each side of the equation. 14117.64706 + -176.4705882x + -14117.64706 + x2 = 0 + -14117.64706 Reorder the terms: 14117.64706 + -14117.64706 + -176.4705882x + x2 = 0 + -14117.64706 Combine like terms: 14117.64706 + -14117.64706 = 0.00000 0.00000 + -176.4705882x + x2 = 0 + -14117.64706 -176.4705882x + x2 = 0 + -14117.64706 Combine like terms: 0 + -14117.64706 = -14117.64706 -176.4705882x + x2 = -14117.64706 The x term is -176.4705882x. Take half its coefficient (-88.2352941). Square it (7785.467125) and add it to both sides. Add '7785.467125' to each side of the equation. -176.4705882x + 7785.467125 + x2 = -14117.64706 + 7785.467125 Reorder the terms: 7785.467125 + -176.4705882x + x2 = -14117.64706 + 7785.467125 Combine like terms: -14117.64706 + 7785.467125 = -6332.179935 7785.467125 + -176.4705882x + x2 = -6332.179935 Factor a perfect square on the left side: (x + -88.2352941)(x + -88.2352941) = -6332.179935 Can't calculate square root of the right side. The solution to this equation could not be determined.
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