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Simplifying (X + 4i)(x + -2) = 0 Reorder the terms: (X + 4i)(-2 + x) = 0 Multiply (X + 4i) * (-2 + x) (X(-2 + x) + 4i * (-2 + x)) = 0 ((-2 * X + x * X) + 4i * (-2 + x)) = 0 ((-2X + xX) + 4i * (-2 + x)) = 0 (-2X + xX + (-2 * 4i + x * 4i)) = 0 (-2X + xX + (-8i + 4ix)) = 0 Reorder the terms: (-2X + -8i + 4ix + xX) = 0 (-2X + -8i + 4ix + xX) = 0 Solving -2X + -8i + 4ix + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8i' to each side of the equation. -2X + -8i + 4ix + 8i + xX = 0 + 8i Reorder the terms: -2X + -8i + 8i + 4ix + xX = 0 + 8i Combine like terms: -8i + 8i = 0 -2X + 0 + 4ix + xX = 0 + 8i -2X + 4ix + xX = 0 + 8i Remove the zero: -2X + 4ix + xX = 8i Add '-4ix' to each side of the equation. -2X + 4ix + -4ix + xX = 8i + -4ix Combine like terms: 4ix + -4ix = 0 -2X + 0 + xX = 8i + -4ix -2X + xX = 8i + -4ix Reorder the terms: -2X + -8i + 4ix + xX = 8i + -4ix + -8i + 4ix Reorder the terms: -2X + -8i + 4ix + xX = 8i + -8i + -4ix + 4ix Combine like terms: 8i + -8i = 0 -2X + -8i + 4ix + xX = 0 + -4ix + 4ix -2X + -8i + 4ix + xX = -4ix + 4ix Combine like terms: -4ix + 4ix = 0 -2X + -8i + 4ix + xX = 0 The solution to this equation could not be determined.
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