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Simplifying (x + -1)(x + -3)(x + -5)(x + -7) = 9 Reorder the terms: (-1 + x)(x + -3)(x + -5)(x + -7) = 9 Reorder the terms: (-1 + x)(-3 + x)(x + -5)(x + -7) = 9 Reorder the terms: (-1 + x)(-3 + x)(-5 + x)(x + -7) = 9 Reorder the terms: (-1 + x)(-3 + x)(-5 + x)(-7 + x) = 9 Multiply (-1 + x) * (-3 + x) (-1(-3 + x) + x(-3 + x))(-5 + x)(-7 + x) = 9 ((-3 * -1 + x * -1) + x(-3 + x))(-5 + x)(-7 + x) = 9 ((3 + -1x) + x(-3 + x))(-5 + x)(-7 + x) = 9 (3 + -1x + (-3 * x + x * x))(-5 + x)(-7 + x) = 9 (3 + -1x + (-3x + x2))(-5 + x)(-7 + x) = 9 Combine like terms: -1x + -3x = -4x (3 + -4x + x2)(-5 + x)(-7 + x) = 9 Multiply (3 + -4x + x2) * (-5 + x) (3(-5 + x) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = 9 ((-5 * 3 + x * 3) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = 9 ((-15 + 3x) + -4x * (-5 + x) + x2(-5 + x))(-7 + x) = 9 (-15 + 3x + (-5 * -4x + x * -4x) + x2(-5 + x))(-7 + x) = 9 (-15 + 3x + (20x + -4x2) + x2(-5 + x))(-7 + x) = 9 (-15 + 3x + 20x + -4x2 + (-5 * x2 + x * x2))(-7 + x) = 9 (-15 + 3x + 20x + -4x2 + (-5x2 + x3))(-7 + x) = 9 Combine like terms: 3x + 20x = 23x (-15 + 23x + -4x2 + -5x2 + x3)(-7 + x) = 9 Combine like terms: -4x2 + -5x2 = -9x2 (-15 + 23x + -9x2 + x3)(-7 + x) = 9 Multiply (-15 + 23x + -9x2 + x3) * (-7 + x) (-15(-7 + x) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = 9 ((-7 * -15 + x * -15) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = 9 ((105 + -15x) + 23x * (-7 + x) + -9x2 * (-7 + x) + x3(-7 + x)) = 9 (105 + -15x + (-7 * 23x + x * 23x) + -9x2 * (-7 + x) + x3(-7 + x)) = 9 (105 + -15x + (-161x + 23x2) + -9x2 * (-7 + x) + x3(-7 + x)) = 9 (105 + -15x + -161x + 23x2 + (-7 * -9x2 + x * -9x2) + x3(-7 + x)) = 9 (105 + -15x + -161x + 23x2 + (63x2 + -9x3) + x3(-7 + x)) = 9 (105 + -15x + -161x + 23x2 + 63x2 + -9x3 + (-7 * x3 + x * x3)) = 9 (105 + -15x + -161x + 23x2 + 63x2 + -9x3 + (-7x3 + x4)) = 9 Combine like terms: -15x + -161x = -176x (105 + -176x + 23x2 + 63x2 + -9x3 + -7x3 + x4) = 9 Combine like terms: 23x2 + 63x2 = 86x2 (105 + -176x + 86x2 + -9x3 + -7x3 + x4) = 9 Combine like terms: -9x3 + -7x3 = -16x3 (105 + -176x + 86x2 + -16x3 + x4) = 9 Solving 105 + -176x + 86x2 + -16x3 + x4 = 9 Solving for variable 'x'. Reorder the terms: 105 + -9 + -176x + 86x2 + -16x3 + x4 = 9 + -9 Combine like terms: 105 + -9 = 96 96 + -176x + 86x2 + -16x3 + x4 = 9 + -9 Combine like terms: 9 + -9 = 0 96 + -176x + 86x2 + -16x3 + x4 = 0 The solution to this equation could not be determined.
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