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Simplifying 0 = (2 + i)(3 + -1I) Multiply (2 + i) * (3 + -1I) 0 = (2(3 + -1I) + i(3 + -1I)) 0 = ((3 * 2 + -1I * 2) + i(3 + -1I)) 0 = ((6 + -2I) + i(3 + -1I)) 0 = (6 + -2I + (3 * i + -1I * i)) 0 = (6 + -2I + (3i + -1iI)) 0 = (6 + -2I + 3i + -1iI) Solving 0 = 6 + -2I + 3i + -1iI Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '2I' to each side of the equation. 0 + 2I = 6 + -2I + 3i + 2I + -1iI Remove the zero: 2I = 6 + -2I + 3i + 2I + -1iI Reorder the terms: 2I = 6 + -2I + 2I + 3i + -1iI Combine like terms: -2I + 2I = 0 2I = 6 + 0 + 3i + -1iI 2I = 6 + 3i + -1iI Add 'iI' to each side of the equation. 2I + iI = 6 + 3i + -1iI + iI Combine like terms: -1iI + iI = 0 2I + iI = 6 + 3i + 0 2I + iI = 6 + 3i Reorder the terms: -6 + 2I + -3i + iI = 6 + 3i + -6 + -3i Reorder the terms: -6 + 2I + -3i + iI = 6 + -6 + 3i + -3i Combine like terms: 6 + -6 = 0 -6 + 2I + -3i + iI = 0 + 3i + -3i -6 + 2I + -3i + iI = 3i + -3i Combine like terms: 3i + -3i = 0 -6 + 2I + -3i + iI = 0 The solution to this equation could not be determined.
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