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Simplifying (d + k)(d + k)(d + k) = 0 Multiply (d + k) * (d + k) (d(d + k) + k(d + k))(d + k) = 0 ((d * d + k * d) + k(d + k))(d + k) = 0 Reorder the terms: ((dk + d2) + k(d + k))(d + k) = 0 ((dk + d2) + k(d + k))(d + k) = 0 (dk + d2 + (d * k + k * k))(d + k) = 0 (dk + d2 + (dk + k2))(d + k) = 0 Reorder the terms: (dk + dk + d2 + k2)(d + k) = 0 Combine like terms: dk + dk = 2dk (2dk + d2 + k2)(d + k) = 0 Multiply (2dk + d2 + k2) * (d + k) (2dk * (d + k) + d2(d + k) + k2(d + k)) = 0 ((d * 2dk + k * 2dk) + d2(d + k) + k2(d + k)) = 0 Reorder the terms: ((2dk2 + 2d2k) + d2(d + k) + k2(d + k)) = 0 ((2dk2 + 2d2k) + d2(d + k) + k2(d + k)) = 0 (2dk2 + 2d2k + (d * d2 + k * d2) + k2(d + k)) = 0 Reorder the terms: (2dk2 + 2d2k + (d2k + d3) + k2(d + k)) = 0 (2dk2 + 2d2k + (d2k + d3) + k2(d + k)) = 0 (2dk2 + 2d2k + d2k + d3 + (d * k2 + k * k2)) = 0 (2dk2 + 2d2k + d2k + d3 + (dk2 + k3)) = 0 Reorder the terms: (2dk2 + dk2 + 2d2k + d2k + d3 + k3) = 0 Combine like terms: 2dk2 + dk2 = 3dk2 (3dk2 + 2d2k + d2k + d3 + k3) = 0 Combine like terms: 2d2k + d2k = 3d2k (3dk2 + 3d2k + d3 + k3) = 0 Solving 3dk2 + 3d2k + d3 + k3 = 0 Solving for variable 'd'. The solution to this equation could not be determined.
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