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Simplifying (5 + 3i) = (u + vip + 2i) Remove parenthesis around (5 + 3i) 5 + 3i = (u + vip + 2i) Reorder the terms: 5 + 3i = (2i + ipv + u) Remove parenthesis around (2i + ipv + u) 5 + 3i = 2i + ipv + u Solving 5 + 3i = 2i + ipv + u 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. 5 + 3i + -2i = 2i + ipv + -2i + u Combine like terms: 3i + -2i = 1i 5 + 1i = 2i + ipv + -2i + u Reorder the terms: 5 + 1i = 2i + -2i + ipv + u Combine like terms: 2i + -2i = 0 5 + 1i = 0 + ipv + u 5 + 1i = ipv + u Add '-1ipv' to each side of the equation. 5 + 1i + -1ipv = ipv + -1ipv + u Combine like terms: ipv + -1ipv = 0 5 + 1i + -1ipv = 0 + u 5 + 1i + -1ipv = u Add '-5' to each side of the equation. 5 + 1i + -5 + -1ipv = -5 + u Reorder the terms: 5 + -5 + 1i + -1ipv = -5 + u Combine like terms: 5 + -5 = 0 0 + 1i + -1ipv = -5 + u 1i + -1ipv = -5 + u Reorder the terms: 5 + 1i + -1ipv + -1u = -5 + u + 5 + -1u Reorder the terms: 5 + 1i + -1ipv + -1u = -5 + 5 + u + -1u Combine like terms: -5 + 5 = 0 5 + 1i + -1ipv + -1u = 0 + u + -1u 5 + 1i + -1ipv + -1u = u + -1u Combine like terms: u + -1u = 0 5 + 1i + -1ipv + -1u = 0 The solution to this equation could not be determined.
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