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Simplifying (2m + 5) + (1 + -1n) * i = -2 + 4 Reorder the terms: (5 + 2m) + (1 + -1n) * i = -2 + 4 Remove parenthesis around (5 + 2m) 5 + 2m + (1 + -1n) * i = -2 + 4 Reorder the terms for easier multiplication: 5 + 2m + i(1 + -1n) = -2 + 4 5 + 2m + (1 * i + -1n * i) = -2 + 4 5 + 2m + (1i + -1in) = -2 + 4 Reorder the terms: 5 + 1i + -1in + 2m = -2 + 4 Combine like terms: -2 + 4 = 2 5 + 1i + -1in + 2m = 2 Solving 5 + 1i + -1in + 2m = 2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 1i + -1in + -5 + 2m = 2 + -5 Reorder the terms: 5 + -5 + 1i + -1in + 2m = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1i + -1in + 2m = 2 + -5 1i + -1in + 2m = 2 + -5 Combine like terms: 2 + -5 = -3 1i + -1in + 2m = -3 Add '-2m' to each side of the equation. 1i + -1in + 2m + -2m = -3 + -2m Combine like terms: 2m + -2m = 0 1i + -1in + 0 = -3 + -2m 1i + -1in = -3 + -2m Reorder the terms: 3 + 1i + -1in + 2m = -3 + -2m + 3 + 2m Reorder the terms: 3 + 1i + -1in + 2m = -3 + 3 + -2m + 2m Combine like terms: -3 + 3 = 0 3 + 1i + -1in + 2m = 0 + -2m + 2m 3 + 1i + -1in + 2m = -2m + 2m Combine like terms: -2m + 2m = 0 3 + 1i + -1in + 2m = 0 The solution to this equation could not be determined.
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