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Simplifying d2 + d = -24 Reorder the terms: d + d2 = -24 Solving d + d2 = -24 Solving for variable 'd'. Reorder the terms: 24 + d + d2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + d + d2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + d + -24 + d2 = 0 + -24 Reorder the terms: 24 + -24 + d + d2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + d + d2 = 0 + -24 d + d2 = 0 + -24 Combine like terms: 0 + -24 = -24 d + d2 = -24 The d term is d. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. d + 0.25 + d2 = -24 + 0.25 Reorder the terms: 0.25 + d + d2 = -24 + 0.25 Combine like terms: -24 + 0.25 = -23.75 0.25 + d + d2 = -23.75 Factor a perfect square on the left side: (d + 0.5)(d + 0.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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