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Simplifying (x + 6)(x + -7)(x + -8)(x + 9) = 0 Reorder the terms: (6 + x)(x + -7)(x + -8)(x + 9) = 0 Reorder the terms: (6 + x)(-7 + x)(x + -8)(x + 9) = 0 Reorder the terms: (6 + x)(-7 + x)(-8 + x)(x + 9) = 0 Reorder the terms: (6 + x)(-7 + x)(-8 + x)(9 + x) = 0 Multiply (6 + x) * (-7 + x) (6(-7 + x) + x(-7 + x))(-8 + x)(9 + x) = 0 ((-7 * 6 + x * 6) + x(-7 + x))(-8 + x)(9 + x) = 0 ((-42 + 6x) + x(-7 + x))(-8 + x)(9 + x) = 0 (-42 + 6x + (-7 * x + x * x))(-8 + x)(9 + x) = 0 (-42 + 6x + (-7x + x2))(-8 + x)(9 + x) = 0 Combine like terms: 6x + -7x = -1x (-42 + -1x + x2)(-8 + x)(9 + x) = 0 Multiply (-42 + -1x + x2) * (-8 + x) (-42(-8 + x) + -1x * (-8 + x) + x2(-8 + x))(9 + x) = 0 ((-8 * -42 + x * -42) + -1x * (-8 + x) + x2(-8 + x))(9 + x) = 0 ((336 + -42x) + -1x * (-8 + x) + x2(-8 + x))(9 + x) = 0 (336 + -42x + (-8 * -1x + x * -1x) + x2(-8 + x))(9 + x) = 0 (336 + -42x + (8x + -1x2) + x2(-8 + x))(9 + x) = 0 (336 + -42x + 8x + -1x2 + (-8 * x2 + x * x2))(9 + x) = 0 (336 + -42x + 8x + -1x2 + (-8x2 + x3))(9 + x) = 0 Combine like terms: -42x + 8x = -34x (336 + -34x + -1x2 + -8x2 + x3)(9 + x) = 0 Combine like terms: -1x2 + -8x2 = -9x2 (336 + -34x + -9x2 + x3)(9 + x) = 0 Multiply (336 + -34x + -9x2 + x3) * (9 + x) (336(9 + x) + -34x * (9 + x) + -9x2 * (9 + x) + x3(9 + x)) = 0 ((9 * 336 + x * 336) + -34x * (9 + x) + -9x2 * (9 + x) + x3(9 + x)) = 0 ((3024 + 336x) + -34x * (9 + x) + -9x2 * (9 + x) + x3(9 + x)) = 0 (3024 + 336x + (9 * -34x + x * -34x) + -9x2 * (9 + x) + x3(9 + x)) = 0 (3024 + 336x + (-306x + -34x2) + -9x2 * (9 + x) + x3(9 + x)) = 0 (3024 + 336x + -306x + -34x2 + (9 * -9x2 + x * -9x2) + x3(9 + x)) = 0 (3024 + 336x + -306x + -34x2 + (-81x2 + -9x3) + x3(9 + x)) = 0 (3024 + 336x + -306x + -34x2 + -81x2 + -9x3 + (9 * x3 + x * x3)) = 0 (3024 + 336x + -306x + -34x2 + -81x2 + -9x3 + (9x3 + x4)) = 0 Combine like terms: 336x + -306x = 30x (3024 + 30x + -34x2 + -81x2 + -9x3 + 9x3 + x4) = 0 Combine like terms: -34x2 + -81x2 = -115x2 (3024 + 30x + -115x2 + -9x3 + 9x3 + x4) = 0 Combine like terms: -9x3 + 9x3 = 0 (3024 + 30x + -115x2 + 0 + x4) = 0 (3024 + 30x + -115x2 + x4) = 0 Solving 3024 + 30x + -115x2 + x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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