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Simplifying (X + 3i)(x + -1) = 0 Reorder the terms: (X + 3i)(-1 + x) = 0 Multiply (X + 3i) * (-1 + x) (X(-1 + x) + 3i * (-1 + x)) = 0 ((-1 * X + x * X) + 3i * (-1 + x)) = 0 ((-1X + xX) + 3i * (-1 + x)) = 0 (-1X + xX + (-1 * 3i + x * 3i)) = 0 (-1X + xX + (-3i + 3ix)) = 0 Reorder the terms: (-1X + -3i + 3ix + xX) = 0 (-1X + -3i + 3ix + xX) = 0 Solving -1X + -3i + 3ix + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3i' to each side of the equation. -1X + -3i + 3ix + 3i + xX = 0 + 3i Reorder the terms: -1X + -3i + 3i + 3ix + xX = 0 + 3i Combine like terms: -3i + 3i = 0 -1X + 0 + 3ix + xX = 0 + 3i -1X + 3ix + xX = 0 + 3i Remove the zero: -1X + 3ix + xX = 3i Add '-3ix' to each side of the equation. -1X + 3ix + -3ix + xX = 3i + -3ix Combine like terms: 3ix + -3ix = 0 -1X + 0 + xX = 3i + -3ix -1X + xX = 3i + -3ix Reorder the terms: -1X + -3i + 3ix + xX = 3i + -3ix + -3i + 3ix Reorder the terms: -1X + -3i + 3ix + xX = 3i + -3i + -3ix + 3ix Combine like terms: 3i + -3i = 0 -1X + -3i + 3ix + xX = 0 + -3ix + 3ix -1X + -3i + 3ix + xX = -3ix + 3ix Combine like terms: -3ix + 3ix = 0 -1X + -3i + 3ix + xX = 0 The solution to this equation could not be determined.
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