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Simplifying 2.43x2 + -2.01x + 20.9 = 0 Reorder the terms: 20.9 + -2.01x + 2.43x2 = 0 Solving 20.9 + -2.01x + 2.43x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2.43 the coefficient of the squared term: Divide each side by '2.43'. 8.600823045 + -0.8271604938x + x2 = 0 Move the constant term to the right: Add '-8.600823045' to each side of the equation. 8.600823045 + -0.8271604938x + -8.600823045 + x2 = 0 + -8.600823045 Reorder the terms: 8.600823045 + -8.600823045 + -0.8271604938x + x2 = 0 + -8.600823045 Combine like terms: 8.600823045 + -8.600823045 = 0.000000000 0.000000000 + -0.8271604938x + x2 = 0 + -8.600823045 -0.8271604938x + x2 = 0 + -8.600823045 Combine like terms: 0 + -8.600823045 = -8.600823045 -0.8271604938x + x2 = -8.600823045 The x term is -0.8271604938x. Take half its coefficient (-0.4135802469). Square it (0.1710486206) and add it to both sides. Add '0.1710486206' to each side of the equation. -0.8271604938x + 0.1710486206 + x2 = -8.600823045 + 0.1710486206 Reorder the terms: 0.1710486206 + -0.8271604938x + x2 = -8.600823045 + 0.1710486206 Combine like terms: -8.600823045 + 0.1710486206 = -8.4297744244 0.1710486206 + -0.8271604938x + x2 = -8.4297744244 Factor a perfect square on the left side: (x + -0.4135802469)(x + -0.4135802469) = -8.4297744244 Can't calculate square root of the right side. The solution to this equation could not be determined.
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