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Simplifying (7x2 + 12)(x + 3) = x2 + 6x + 9 Reorder the terms: (12 + 7x2)(x + 3) = x2 + 6x + 9 Reorder the terms: (12 + 7x2)(3 + x) = x2 + 6x + 9 Multiply (12 + 7x2) * (3 + x) (12(3 + x) + 7x2 * (3 + x)) = x2 + 6x + 9 ((3 * 12 + x * 12) + 7x2 * (3 + x)) = x2 + 6x + 9 ((36 + 12x) + 7x2 * (3 + x)) = x2 + 6x + 9 (36 + 12x + (3 * 7x2 + x * 7x2)) = x2 + 6x + 9 (36 + 12x + (21x2 + 7x3)) = x2 + 6x + 9 (36 + 12x + 21x2 + 7x3) = x2 + 6x + 9 Reorder the terms: 36 + 12x + 21x2 + 7x3 = 9 + 6x + x2 Solving 36 + 12x + 21x2 + 7x3 = 9 + 6x + x2 Solving for variable 'x'. Reorder the terms: 36 + -9 + 12x + -6x + 21x2 + -1x2 + 7x3 = 9 + 6x + x2 + -9 + -6x + -1x2 Combine like terms: 36 + -9 = 27 27 + 12x + -6x + 21x2 + -1x2 + 7x3 = 9 + 6x + x2 + -9 + -6x + -1x2 Combine like terms: 12x + -6x = 6x 27 + 6x + 21x2 + -1x2 + 7x3 = 9 + 6x + x2 + -9 + -6x + -1x2 Combine like terms: 21x2 + -1x2 = 20x2 27 + 6x + 20x2 + 7x3 = 9 + 6x + x2 + -9 + -6x + -1x2 Reorder the terms: 27 + 6x + 20x2 + 7x3 = 9 + -9 + 6x + -6x + x2 + -1x2 Combine like terms: 9 + -9 = 0 27 + 6x + 20x2 + 7x3 = 0 + 6x + -6x + x2 + -1x2 27 + 6x + 20x2 + 7x3 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 27 + 6x + 20x2 + 7x3 = 0 + x2 + -1x2 27 + 6x + 20x2 + 7x3 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 27 + 6x + 20x2 + 7x3 = 0 The solution to this equation could not be determined.
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