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Simplifying 0.0002x2 + -0.277x + 121.63 = 0.1 Reorder the terms: 121.63 + -0.277x + 0.0002x2 = 0.1 Solving 121.63 + -0.277x + 0.0002x2 = 0.1 Solving for variable 'x'. Reorder the terms: 121.63 + -0.1 + -0.277x + 0.0002x2 = 0.1 + -0.1 Combine like terms: 121.63 + -0.1 = 121.53 121.53 + -0.277x + 0.0002x2 = 0.1 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 121.53 + -0.277x + 0.0002x2 = 0.0 Begin completing the square. Divide all terms by 0.0002 the coefficient of the squared term: Divide each side by '0.0002'. 607650 + -1385x + x2 = 0 Move the constant term to the right: Add '-607650' to each side of the equation. 607650 + -1385x + -607650 + x2 = 0 + -607650 Reorder the terms: 607650 + -607650 + -1385x + x2 = 0 + -607650 Combine like terms: 607650 + -607650 = 0 0 + -1385x + x2 = 0 + -607650 -1385x + x2 = 0 + -607650 Combine like terms: 0 + -607650 = -607650 -1385x + x2 = -607650 The x term is -1385x. Take half its coefficient (-692.5). Square it (479556.25) and add it to both sides. Add '479556.25' to each side of the equation. -1385x + 479556.25 + x2 = -607650 + 479556.25 Reorder the terms: 479556.25 + -1385x + x2 = -607650 + 479556.25 Combine like terms: -607650 + 479556.25 = -128093.75 479556.25 + -1385x + x2 = -128093.75 Factor a perfect square on the left side: (x + -692.5)(x + -692.5) = -128093.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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