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Simplifying (3x + 4) * x(x + 6) = 32 Reorder the terms: (4 + 3x) * x(x + 6) = 32 Reorder the terms: (4 + 3x) * x(6 + x) = 32 Reorder the terms for easier multiplication: x(4 + 3x)(6 + x) = 32 Multiply (4 + 3x) * (6 + x) x(4(6 + x) + 3x * (6 + x)) = 32 x((6 * 4 + x * 4) + 3x * (6 + x)) = 32 x((24 + 4x) + 3x * (6 + x)) = 32 x(24 + 4x + (6 * 3x + x * 3x)) = 32 x(24 + 4x + (18x + 3x2)) = 32 Combine like terms: 4x + 18x = 22x x(24 + 22x + 3x2) = 32 (24 * x + 22x * x + 3x2 * x) = 32 (24x + 22x2 + 3x3) = 32 Solving 24x + 22x2 + 3x3 = 32 Solving for variable 'x'. Reorder the terms: -32 + 24x + 22x2 + 3x3 = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + 24x + 22x2 + 3x3 = 0 The solution to this equation could not be determined.
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