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Simplifying (2x2 + 9x + 6)(2x + 3) = 0 Reorder the terms: (6 + 9x + 2x2)(2x + 3) = 0 Reorder the terms: (6 + 9x + 2x2)(3 + 2x) = 0 Multiply (6 + 9x + 2x2) * (3 + 2x) (6(3 + 2x) + 9x * (3 + 2x) + 2x2 * (3 + 2x)) = 0 ((3 * 6 + 2x * 6) + 9x * (3 + 2x) + 2x2 * (3 + 2x)) = 0 ((18 + 12x) + 9x * (3 + 2x) + 2x2 * (3 + 2x)) = 0 (18 + 12x + (3 * 9x + 2x * 9x) + 2x2 * (3 + 2x)) = 0 (18 + 12x + (27x + 18x2) + 2x2 * (3 + 2x)) = 0 (18 + 12x + 27x + 18x2 + (3 * 2x2 + 2x * 2x2)) = 0 (18 + 12x + 27x + 18x2 + (6x2 + 4x3)) = 0 Combine like terms: 12x + 27x = 39x (18 + 39x + 18x2 + 6x2 + 4x3) = 0 Combine like terms: 18x2 + 6x2 = 24x2 (18 + 39x + 24x2 + 4x3) = 0 Solving 18 + 39x + 24x2 + 4x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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