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Simplifying -0.5d(d + -1.5) = 2.5 Reorder the terms: -0.5d(-1.5 + d) = 2.5 (-1.5 * -0.5d + d * -0.5d) = 2.5 (0.75d + -0.5d2) = 2.5 Solving 0.75d + -0.5d2 = 2.5 Solving for variable 'd'. Reorder the terms: -2.5 + 0.75d + -0.5d2 = 2.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 -2.5 + 0.75d + -0.5d2 = 0.0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 5 + -1.5d + d2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -1.5d + -5 + d2 = 0 + -5 Reorder the terms: 5 + -5 + -1.5d + d2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5d + d2 = 0 + -5 -1.5d + d2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1.5d + d2 = -5 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 = -5 + 0.5625 Reorder the terms: 0.5625 + -1.5d + d2 = -5 + 0.5625 Combine like terms: -5 + 0.5625 = -4.4375 0.5625 + -1.5d + d2 = -4.4375 Factor a perfect square on the left side: (d + -0.75)(d + -0.75) = -4.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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