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Simplifying 10d2 = 17d + -20 Reorder the terms: 10d2 = -20 + 17d Solving 10d2 = -20 + 17d Solving for variable 'd'. Reorder the terms: 20 + -17d + 10d2 = -20 + 17d + 20 + -17d Reorder the terms: 20 + -17d + 10d2 = -20 + 20 + 17d + -17d Combine like terms: -20 + 20 = 0 20 + -17d + 10d2 = 0 + 17d + -17d 20 + -17d + 10d2 = 17d + -17d Combine like terms: 17d + -17d = 0 20 + -17d + 10d2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2 + -1.7d + d2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.7d + -2 + d2 = 0 + -2 Reorder the terms: 2 + -2 + -1.7d + d2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.7d + d2 = 0 + -2 -1.7d + d2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.7d + d2 = -2 The d term is -1.7d. Take half its coefficient (-0.85). Square it (0.7225) and add it to both sides. Add '0.7225' to each side of the equation. -1.7d + 0.7225 + d2 = -2 + 0.7225 Reorder the terms: 0.7225 + -1.7d + d2 = -2 + 0.7225 Combine like terms: -2 + 0.7225 = -1.2775 0.7225 + -1.7d + d2 = -1.2775 Factor a perfect square on the left side: (d + -0.85)(d + -0.85) = -1.2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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