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Simplifying (a + -1z)(a + -2z)(a + z) = 0 Multiply (a + -1z) * (a + -2z) (a(a + -2z) + -1z * (a + -2z))(a + z) = 0 ((a * a + -2z * a) + -1z * (a + -2z))(a + z) = 0 Reorder the terms: ((-2az + a2) + -1z * (a + -2z))(a + z) = 0 ((-2az + a2) + -1z * (a + -2z))(a + z) = 0 (-2az + a2 + (a * -1z + -2z * -1z))(a + z) = 0 (-2az + a2 + (-1az + 2z2))(a + z) = 0 Reorder the terms: (-2az + -1az + a2 + 2z2)(a + z) = 0 Combine like terms: -2az + -1az = -3az (-3az + a2 + 2z2)(a + z) = 0 Multiply (-3az + a2 + 2z2) * (a + z) (-3az * (a + z) + a2(a + z) + 2z2 * (a + z)) = 0 ((a * -3az + z * -3az) + a2(a + z) + 2z2 * (a + z)) = 0 Reorder the terms: ((-3az2 + -3a2z) + a2(a + z) + 2z2 * (a + z)) = 0 ((-3az2 + -3a2z) + a2(a + z) + 2z2 * (a + z)) = 0 (-3az2 + -3a2z + (a * a2 + z * a2) + 2z2 * (a + z)) = 0 Reorder the terms: (-3az2 + -3a2z + (a2z + a3) + 2z2 * (a + z)) = 0 (-3az2 + -3a2z + (a2z + a3) + 2z2 * (a + z)) = 0 (-3az2 + -3a2z + a2z + a3 + (a * 2z2 + z * 2z2)) = 0 (-3az2 + -3a2z + a2z + a3 + (2az2 + 2z3)) = 0 Reorder the terms: (-3az2 + 2az2 + -3a2z + a2z + a3 + 2z3) = 0 Combine like terms: -3az2 + 2az2 = -1az2 (-1az2 + -3a2z + a2z + a3 + 2z3) = 0 Combine like terms: -3a2z + a2z = -2a2z (-1az2 + -2a2z + a3 + 2z3) = 0 Solving -1az2 + -2a2z + a3 + 2z3 = 0 Solving for variable 'a'. The solution to this equation could not be determined.
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