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Simplifying (4x + 3)(2x + -3)(x + -5) = 1 Reorder the terms: (3 + 4x)(2x + -3)(x + -5) = 1 Reorder the terms: (3 + 4x)(-3 + 2x)(x + -5) = 1 Reorder the terms: (3 + 4x)(-3 + 2x)(-5 + x) = 1 Multiply (3 + 4x) * (-3 + 2x) (3(-3 + 2x) + 4x * (-3 + 2x))(-5 + x) = 1 ((-3 * 3 + 2x * 3) + 4x * (-3 + 2x))(-5 + x) = 1 ((-9 + 6x) + 4x * (-3 + 2x))(-5 + x) = 1 (-9 + 6x + (-3 * 4x + 2x * 4x))(-5 + x) = 1 (-9 + 6x + (-12x + 8x2))(-5 + x) = 1 Combine like terms: 6x + -12x = -6x (-9 + -6x + 8x2)(-5 + x) = 1 Multiply (-9 + -6x + 8x2) * (-5 + x) (-9(-5 + x) + -6x * (-5 + x) + 8x2 * (-5 + x)) = 1 ((-5 * -9 + x * -9) + -6x * (-5 + x) + 8x2 * (-5 + x)) = 1 ((45 + -9x) + -6x * (-5 + x) + 8x2 * (-5 + x)) = 1 (45 + -9x + (-5 * -6x + x * -6x) + 8x2 * (-5 + x)) = 1 (45 + -9x + (30x + -6x2) + 8x2 * (-5 + x)) = 1 (45 + -9x + 30x + -6x2 + (-5 * 8x2 + x * 8x2)) = 1 (45 + -9x + 30x + -6x2 + (-40x2 + 8x3)) = 1 Combine like terms: -9x + 30x = 21x (45 + 21x + -6x2 + -40x2 + 8x3) = 1 Combine like terms: -6x2 + -40x2 = -46x2 (45 + 21x + -46x2 + 8x3) = 1 Solving 45 + 21x + -46x2 + 8x3 = 1 Solving for variable 'x'. Reorder the terms: 45 + -1 + 21x + -46x2 + 8x3 = 1 + -1 Combine like terms: 45 + -1 = 44 44 + 21x + -46x2 + 8x3 = 1 + -1 Combine like terms: 1 + -1 = 0 44 + 21x + -46x2 + 8x3 = 0 The solution to this equation could not be determined.
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