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Simplifying (X + 4)(X + -5i)(X + -3) = 0 Reorder the terms: (4 + X)(X + -5i)(X + -3) = 0 Reorder the terms: (4 + X)(X + -5i)(-3 + X) = 0 Multiply (4 + X) * (X + -5i) (4(X + -5i) + X(X + -5i))(-3 + X) = 0 ((X * 4 + -5i * 4) + X(X + -5i))(-3 + X) = 0 ((4X + -20i) + X(X + -5i))(-3 + X) = 0 (4X + -20i + (X * X + -5i * X))(-3 + X) = 0 (4X + -20i + (X2 + -5iX))(-3 + X) = 0 Reorder the terms: (4X + X2 + -20i + -5iX)(-3 + X) = 0 (4X + X2 + -20i + -5iX)(-3 + X) = 0 Multiply (4X + X2 + -20i + -5iX) * (-3 + X) (4X * (-3 + X) + X2(-3 + X) + -20i * (-3 + X) + -5iX * (-3 + X)) = 0 ((-3 * 4X + X * 4X) + X2(-3 + X) + -20i * (-3 + X) + -5iX * (-3 + X)) = 0 ((-12X + 4X2) + X2(-3 + X) + -20i * (-3 + X) + -5iX * (-3 + X)) = 0 (-12X + 4X2 + (-3 * X2 + X * X2) + -20i * (-3 + X) + -5iX * (-3 + X)) = 0 (-12X + 4X2 + (-3X2 + X3) + -20i * (-3 + X) + -5iX * (-3 + X)) = 0 (-12X + 4X2 + -3X2 + X3 + (-3 * -20i + X * -20i) + -5iX * (-3 + X)) = 0 (-12X + 4X2 + -3X2 + X3 + (60i + -20iX) + -5iX * (-3 + X)) = 0 (-12X + 4X2 + -3X2 + X3 + 60i + -20iX + (-3 * -5iX + X * -5iX)) = 0 (-12X + 4X2 + -3X2 + X3 + 60i + -20iX + (15iX + -5iX2)) = 0 Combine like terms: 4X2 + -3X2 = 1X2 (-12X + 1X2 + X3 + 60i + -20iX + 15iX + -5iX2) = 0 Combine like terms: -20iX + 15iX = -5iX (-12X + 1X2 + X3 + 60i + -5iX + -5iX2) = 0 Solving -12X + 1X2 + X3 + 60i + -5iX + -5iX2 = 0 Solving for variable 'X'. The solution to this equation could not be determined.
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