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Simplifying (2x + 3)(4x2 + -6x + 9) = 0 Reorder the terms: (3 + 2x)(4x2 + -6x + 9) = 0 Reorder the terms: (3 + 2x)(9 + -6x + 4x2) = 0 Multiply (3 + 2x) * (9 + -6x + 4x2) (3(9 + -6x + 4x2) + 2x * (9 + -6x + 4x2)) = 0 ((9 * 3 + -6x * 3 + 4x2 * 3) + 2x * (9 + -6x + 4x2)) = 0 ((27 + -18x + 12x2) + 2x * (9 + -6x + 4x2)) = 0 (27 + -18x + 12x2 + (9 * 2x + -6x * 2x + 4x2 * 2x)) = 0 (27 + -18x + 12x2 + (18x + -12x2 + 8x3)) = 0 Reorder the terms: (27 + -18x + 18x + 12x2 + -12x2 + 8x3) = 0 Combine like terms: -18x + 18x = 0 (27 + 0 + 12x2 + -12x2 + 8x3) = 0 (27 + 12x2 + -12x2 + 8x3) = 0 Combine like terms: 12x2 + -12x2 = 0 (27 + 0 + 8x3) = 0 (27 + 8x3) = 0 Solving 27 + 8x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 8x3 = 0 + -27 8x3 = 0 + -27 Combine like terms: 0 + -27 = -27 8x3 = -27 Divide each side by '8'. x3 = -3.375 Simplifying x3 = -3.375 Reorder the terms: 3.375 + x3 = -3.375 + 3.375 Combine like terms: -3.375 + 3.375 = 0.000 3.375 + x3 = 0.000 The solution to this equation could not be determined.
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