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Simplifying (3x + 2)(9x2 + -6x + 4) = 0 Reorder the terms: (2 + 3x)(9x2 + -6x + 4) = 0 Reorder the terms: (2 + 3x)(4 + -6x + 9x2) = 0 Multiply (2 + 3x) * (4 + -6x + 9x2) (2(4 + -6x + 9x2) + 3x * (4 + -6x + 9x2)) = 0 ((4 * 2 + -6x * 2 + 9x2 * 2) + 3x * (4 + -6x + 9x2)) = 0 ((8 + -12x + 18x2) + 3x * (4 + -6x + 9x2)) = 0 (8 + -12x + 18x2 + (4 * 3x + -6x * 3x + 9x2 * 3x)) = 0 (8 + -12x + 18x2 + (12x + -18x2 + 27x3)) = 0 Reorder the terms: (8 + -12x + 12x + 18x2 + -18x2 + 27x3) = 0 Combine like terms: -12x + 12x = 0 (8 + 0 + 18x2 + -18x2 + 27x3) = 0 (8 + 18x2 + -18x2 + 27x3) = 0 Combine like terms: 18x2 + -18x2 = 0 (8 + 0 + 27x3) = 0 (8 + 27x3) = 0 Solving 8 + 27x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 27x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 27x3 = 0 + -8 27x3 = 0 + -8 Combine like terms: 0 + -8 = -8 27x3 = -8 Divide each side by '27'. x3 = -0.2962962963 Simplifying x3 = -0.2962962963 Reorder the terms: 0.2962962963 + x3 = -0.2962962963 + 0.2962962963 Combine like terms: -0.2962962963 + 0.2962962963 = 0.0000000000 0.2962962963 + x3 = 0.0000000000 The solution to this equation could not be determined.
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