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Simplifying (d + 1)(d + 1)(d + 1) = 64 Reorder the terms: (1 + d)(d + 1)(d + 1) = 64 Reorder the terms: (1 + d)(1 + d)(d + 1) = 64 Reorder the terms: (1 + d)(1 + d)(1 + d) = 64 Multiply (1 + d) * (1 + d) (1(1 + d) + d(1 + d))(1 + d) = 64 ((1 * 1 + d * 1) + d(1 + d))(1 + d) = 64 ((1 + 1d) + d(1 + d))(1 + d) = 64 (1 + 1d + (1 * d + d * d))(1 + d) = 64 (1 + 1d + (1d + d2))(1 + d) = 64 Combine like terms: 1d + 1d = 2d (1 + 2d + d2)(1 + d) = 64 Multiply (1 + 2d + d2) * (1 + d) (1(1 + d) + 2d * (1 + d) + d2(1 + d)) = 64 ((1 * 1 + d * 1) + 2d * (1 + d) + d2(1 + d)) = 64 ((1 + 1d) + 2d * (1 + d) + d2(1 + d)) = 64 (1 + 1d + (1 * 2d + d * 2d) + d2(1 + d)) = 64 (1 + 1d + (2d + 2d2) + d2(1 + d)) = 64 (1 + 1d + 2d + 2d2 + (1 * d2 + d * d2)) = 64 (1 + 1d + 2d + 2d2 + (1d2 + d3)) = 64 Combine like terms: 1d + 2d = 3d (1 + 3d + 2d2 + 1d2 + d3) = 64 Combine like terms: 2d2 + 1d2 = 3d2 (1 + 3d + 3d2 + d3) = 64 Solving 1 + 3d + 3d2 + d3 = 64 Solving for variable 'd'. Reorder the terms: 1 + -64 + 3d + 3d2 + d3 = 64 + -64 Combine like terms: 1 + -64 = -63 -63 + 3d + 3d2 + d3 = 64 + -64 Combine like terms: 64 + -64 = 0 -63 + 3d + 3d2 + d3 = 0 The solution to this equation could not be determined.
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