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Simplifying 10 + -3i = I(4 + i) 10 + -3i = (4 * I + i * I) 10 + -3i = (4I + iI) Solving 10 + -3i = 4I + iI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iI' to each side of the equation. 10 + -3i + -1iI = 4I + iI + -1iI Combine like terms: iI + -1iI = 0 10 + -3i + -1iI = 4I + 0 10 + -3i + -1iI = 4I Add '-10' to each side of the equation. 10 + -3i + -10 + -1iI = -10 + 4I Reorder the terms: 10 + -10 + -3i + -1iI = -10 + 4I Combine like terms: 10 + -10 = 0 0 + -3i + -1iI = -10 + 4I -3i + -1iI = -10 + 4I Reorder the terms: 10 + -4I + -3i + -1iI = -10 + 4I + 10 + -4I Reorder the terms: 10 + -4I + -3i + -1iI = -10 + 10 + 4I + -4I Combine like terms: -10 + 10 = 0 10 + -4I + -3i + -1iI = 0 + 4I + -4I 10 + -4I + -3i + -1iI = 4I + -4I Combine like terms: 4I + -4I = 0 10 + -4I + -3i + -1iI = 0 The solution to this equation could not be determined.
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