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Simplifying 12 + d2 = -1d Solving 12 + d2 = -1d Solving for variable 'd'. Reorder the terms: 12 + d + d2 = -1d + d Combine like terms: -1d + d = 0 12 + d + d2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + d + -12 + d2 = 0 + -12 Reorder the terms: 12 + -12 + d + d2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + d + d2 = 0 + -12 d + d2 = 0 + -12 Combine like terms: 0 + -12 = -12 d + d2 = -12 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 = -12 + 0.25 Reorder the terms: 0.25 + d + d2 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + d + d2 = -11.75 Factor a perfect square on the left side: (d + 0.5)(d + 0.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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