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Simplifying (2x + 3)(2x + 3)(2x + 3) = 64 Reorder the terms: (3 + 2x)(2x + 3)(2x + 3) = 64 Reorder the terms: (3 + 2x)(3 + 2x)(2x + 3) = 64 Reorder the terms: (3 + 2x)(3 + 2x)(3 + 2x) = 64 Multiply (3 + 2x) * (3 + 2x) (3(3 + 2x) + 2x * (3 + 2x))(3 + 2x) = 64 ((3 * 3 + 2x * 3) + 2x * (3 + 2x))(3 + 2x) = 64 ((9 + 6x) + 2x * (3 + 2x))(3 + 2x) = 64 (9 + 6x + (3 * 2x + 2x * 2x))(3 + 2x) = 64 (9 + 6x + (6x + 4x2))(3 + 2x) = 64 Combine like terms: 6x + 6x = 12x (9 + 12x + 4x2)(3 + 2x) = 64 Multiply (9 + 12x + 4x2) * (3 + 2x) (9(3 + 2x) + 12x * (3 + 2x) + 4x2 * (3 + 2x)) = 64 ((3 * 9 + 2x * 9) + 12x * (3 + 2x) + 4x2 * (3 + 2x)) = 64 ((27 + 18x) + 12x * (3 + 2x) + 4x2 * (3 + 2x)) = 64 (27 + 18x + (3 * 12x + 2x * 12x) + 4x2 * (3 + 2x)) = 64 (27 + 18x + (36x + 24x2) + 4x2 * (3 + 2x)) = 64 (27 + 18x + 36x + 24x2 + (3 * 4x2 + 2x * 4x2)) = 64 (27 + 18x + 36x + 24x2 + (12x2 + 8x3)) = 64 Combine like terms: 18x + 36x = 54x (27 + 54x + 24x2 + 12x2 + 8x3) = 64 Combine like terms: 24x2 + 12x2 = 36x2 (27 + 54x + 36x2 + 8x3) = 64 Solving 27 + 54x + 36x2 + 8x3 = 64 Solving for variable 'x'. Reorder the terms: 27 + -64 + 54x + 36x2 + 8x3 = 64 + -64 Combine like terms: 27 + -64 = -37 -37 + 54x + 36x2 + 8x3 = 64 + -64 Combine like terms: 64 + -64 = 0 -37 + 54x + 36x2 + 8x3 = 0 The solution to this equation could not be determined.
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