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Simplifying (3x + 5i) + -1(6 + 10yi) = 0 Reorder the terms: (5i + 3x) + -1(6 + 10yi) = 0 Remove parenthesis around (5i + 3x) 5i + 3x + -1(6 + 10yi) = 0 5i + 3x + (6 * -1 + 10iy * -1) = 0 5i + 3x + (-6 + -10iy) = 0 Reorder the terms: -6 + 5i + -10iy + 3x = 0 Solving -6 + 5i + -10iy + 3x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 5i + -10iy + 6 + 3x = 0 + 6 Reorder the terms: -6 + 6 + 5i + -10iy + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5i + -10iy + 3x = 0 + 6 5i + -10iy + 3x = 0 + 6 Combine like terms: 0 + 6 = 6 5i + -10iy + 3x = 6 Add '-3x' to each side of the equation. 5i + -10iy + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 5i + -10iy + 0 = 6 + -3x 5i + -10iy = 6 + -3x Reorder the terms: -6 + 5i + -10iy + 3x = 6 + -3x + -6 + 3x Reorder the terms: -6 + 5i + -10iy + 3x = 6 + -6 + -3x + 3x Combine like terms: 6 + -6 = 0 -6 + 5i + -10iy + 3x = 0 + -3x + 3x -6 + 5i + -10iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 5i + -10iy + 3x = 0 The solution to this equation could not be determined.
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