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Simplifying 2d2 + -3d + 2 = 0 Reorder the terms: 2 + -3d + 2d2 = 0 Solving 2 + -3d + 2d2 = 0 Solving for variable 'd'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + -1.5d + d2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.5d + -1 + d2 = 0 + -1 Reorder the terms: 1 + -1 + -1.5d + d2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5d + d2 = 0 + -1 -1.5d + d2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.5d + d2 = -1 The d term is -1.5d. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5d + 0.5625 + d2 = -1 + 0.5625 Reorder the terms: 0.5625 + -1.5d + d2 = -1 + 0.5625 Combine like terms: -1 + 0.5625 = -0.4375 0.5625 + -1.5d + d2 = -0.4375 Factor a perfect square on the left side: (d + -0.75)(d + -0.75) = -0.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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