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Simplifying (1 + -1x)(x + 5)(x + -3) + 12x + 23 = 0 Reorder the terms: (1 + -1x)(5 + x)(x + -3) + 12x + 23 = 0 Reorder the terms: (1 + -1x)(5 + x)(-3 + x) + 12x + 23 = 0 Multiply (1 + -1x) * (5 + x) (1(5 + x) + -1x * (5 + x))(-3 + x) + 12x + 23 = 0 ((5 * 1 + x * 1) + -1x * (5 + x))(-3 + x) + 12x + 23 = 0 ((5 + 1x) + -1x * (5 + x))(-3 + x) + 12x + 23 = 0 (5 + 1x + (5 * -1x + x * -1x))(-3 + x) + 12x + 23 = 0 (5 + 1x + (-5x + -1x2))(-3 + x) + 12x + 23 = 0 Combine like terms: 1x + -5x = -4x (5 + -4x + -1x2)(-3 + x) + 12x + 23 = 0 Multiply (5 + -4x + -1x2) * (-3 + x) (5(-3 + x) + -4x * (-3 + x) + -1x2 * (-3 + x)) + 12x + 23 = 0 ((-3 * 5 + x * 5) + -4x * (-3 + x) + -1x2 * (-3 + x)) + 12x + 23 = 0 ((-15 + 5x) + -4x * (-3 + x) + -1x2 * (-3 + x)) + 12x + 23 = 0 (-15 + 5x + (-3 * -4x + x * -4x) + -1x2 * (-3 + x)) + 12x + 23 = 0 (-15 + 5x + (12x + -4x2) + -1x2 * (-3 + x)) + 12x + 23 = 0 (-15 + 5x + 12x + -4x2 + (-3 * -1x2 + x * -1x2)) + 12x + 23 = 0 (-15 + 5x + 12x + -4x2 + (3x2 + -1x3)) + 12x + 23 = 0 Combine like terms: 5x + 12x = 17x (-15 + 17x + -4x2 + 3x2 + -1x3) + 12x + 23 = 0 Combine like terms: -4x2 + 3x2 = -1x2 (-15 + 17x + -1x2 + -1x3) + 12x + 23 = 0 Reorder the terms: -15 + 23 + 17x + 12x + -1x2 + -1x3 = 0 Combine like terms: -15 + 23 = 8 8 + 17x + 12x + -1x2 + -1x3 = 0 Combine like terms: 17x + 12x = 29x 8 + 29x + -1x2 + -1x3 = 0 Solving 8 + 29x + -1x2 + -1x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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