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Simplifying 0.2x2 + -1.1x + 9.165 = 0 Reorder the terms: 9.165 + -1.1x + 0.2x2 = 0 Solving 9.165 + -1.1x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 45.825 + -5.5x + x2 = 0 Move the constant term to the right: Add '-45.825' to each side of the equation. 45.825 + -5.5x + -45.825 + x2 = 0 + -45.825 Reorder the terms: 45.825 + -45.825 + -5.5x + x2 = 0 + -45.825 Combine like terms: 45.825 + -45.825 = 0.000 0.000 + -5.5x + x2 = 0 + -45.825 -5.5x + x2 = 0 + -45.825 Combine like terms: 0 + -45.825 = -45.825 -5.5x + x2 = -45.825 The x term is -5.5x. Take half its coefficient (-2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. -5.5x + 7.5625 + x2 = -45.825 + 7.5625 Reorder the terms: 7.5625 + -5.5x + x2 = -45.825 + 7.5625 Combine like terms: -45.825 + 7.5625 = -38.2625 7.5625 + -5.5x + x2 = -38.2625 Factor a perfect square on the left side: (x + -2.75)(x + -2.75) = -38.2625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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