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