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Simplifying (X + -5)(x + -2 + 3i) = 0 Reorder the terms: (-5 + X)(x + -2 + 3i) = 0 Reorder the terms: (-5 + X)(-2 + 3i + x) = 0 Multiply (-5 + X) * (-2 + 3i + x) (-5(-2 + 3i + x) + X(-2 + 3i + x)) = 0 ((-2 * -5 + 3i * -5 + x * -5) + X(-2 + 3i + x)) = 0 ((10 + -15i + -5x) + X(-2 + 3i + x)) = 0 (10 + -15i + -5x + (-2 * X + 3i * X + x * X)) = 0 (10 + -15i + -5x + (-2X + 3iX + xX)) = 0 Reorder the terms: (10 + -2X + -15i + 3iX + -5x + xX) = 0 (10 + -2X + -15i + 3iX + -5x + xX) = 0 Solving 10 + -2X + -15i + 3iX + -5x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -2X + -15i + 3iX + -5x + -10 + xX = 0 + -10 Reorder the terms: 10 + -10 + -2X + -15i + 3iX + -5x + xX = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2X + -15i + 3iX + -5x + xX = 0 + -10 -2X + -15i + 3iX + -5x + xX = 0 + -10 Combine like terms: 0 + -10 = -10 -2X + -15i + 3iX + -5x + xX = -10 Add '15i' to each side of the equation. -2X + -15i + 3iX + -5x + 15i + xX = -10 + 15i Reorder the terms: -2X + -15i + 15i + 3iX + -5x + xX = -10 + 15i Combine like terms: -15i + 15i = 0 -2X + 0 + 3iX + -5x + xX = -10 + 15i -2X + 3iX + -5x + xX = -10 + 15i Add '5x' to each side of the equation. -2X + 3iX + -5x + 5x + xX = -10 + 15i + 5x Combine like terms: -5x + 5x = 0 -2X + 3iX + 0 + xX = -10 + 15i + 5x -2X + 3iX + xX = -10 + 15i + 5x Reorder the terms: 10 + -2X + -15i + 3iX + -5x + xX = -10 + 15i + 5x + 10 + -15i + -5x Reorder the terms: 10 + -2X + -15i + 3iX + -5x + xX = -10 + 10 + 15i + -15i + 5x + -5x Combine like terms: -10 + 10 = 0 10 + -2X + -15i + 3iX + -5x + xX = 0 + 15i + -15i + 5x + -5x 10 + -2X + -15i + 3iX + -5x + xX = 15i + -15i + 5x + -5x Combine like terms: 15i + -15i = 0 10 + -2X + -15i + 3iX + -5x + xX = 0 + 5x + -5x 10 + -2X + -15i + 3iX + -5x + xX = 5x + -5x Combine like terms: 5x + -5x = 0 10 + -2X + -15i + 3iX + -5x + xX = 0 The solution to this equation could not be determined.
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