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Simplifying (4 + x)(4 + x)(4 + x) = 216 Multiply (4 + x) * (4 + x) (4(4 + x) + x(4 + x))(4 + x) = 216 ((4 * 4 + x * 4) + x(4 + x))(4 + x) = 216 ((16 + 4x) + x(4 + x))(4 + x) = 216 (16 + 4x + (4 * x + x * x))(4 + x) = 216 (16 + 4x + (4x + x2))(4 + x) = 216 Combine like terms: 4x + 4x = 8x (16 + 8x + x2)(4 + x) = 216 Multiply (16 + 8x + x2) * (4 + x) (16(4 + x) + 8x * (4 + x) + x2(4 + x)) = 216 ((4 * 16 + x * 16) + 8x * (4 + x) + x2(4 + x)) = 216 ((64 + 16x) + 8x * (4 + x) + x2(4 + x)) = 216 (64 + 16x + (4 * 8x + x * 8x) + x2(4 + x)) = 216 (64 + 16x + (32x + 8x2) + x2(4 + x)) = 216 (64 + 16x + 32x + 8x2 + (4 * x2 + x * x2)) = 216 (64 + 16x + 32x + 8x2 + (4x2 + x3)) = 216 Combine like terms: 16x + 32x = 48x (64 + 48x + 8x2 + 4x2 + x3) = 216 Combine like terms: 8x2 + 4x2 = 12x2 (64 + 48x + 12x2 + x3) = 216 Solving 64 + 48x + 12x2 + x3 = 216 Solving for variable 'x'. Reorder the terms: 64 + -216 + 48x + 12x2 + x3 = 216 + -216 Combine like terms: 64 + -216 = -152 -152 + 48x + 12x2 + x3 = 216 + -216 Combine like terms: 216 + -216 = 0 -152 + 48x + 12x2 + x3 = 0 The solution to this equation could not be determined.
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