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Simplifying (x + 2i)(x + 1) = 0 Reorder the terms: (2i + x)(x + 1) = 0 Reorder the terms: (2i + x)(1 + x) = 0 Multiply (2i + x) * (1 + x) (2i * (1 + x) + x(1 + x)) = 0 ((1 * 2i + x * 2i) + x(1 + x)) = 0 ((2i + 2ix) + x(1 + x)) = 0 (2i + 2ix + (1 * x + x * x)) = 0 (2i + 2ix + (1x + x2)) = 0 (2i + 2ix + 1x + x2) = 0 Solving 2i + 2ix + 1x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. 2i + 2ix + 1x + -1x + x2 = 0 + -1x Combine like terms: 1x + -1x = 0 2i + 2ix + 0 + x2 = 0 + -1x 2i + 2ix + x2 = 0 + -1x Remove the zero: 2i + 2ix + x2 = -1x Add '-1x2' to each side of the equation. 2i + 2ix + x2 + -1x2 = -1x + -1x2 Combine like terms: x2 + -1x2 = 0 2i + 2ix + 0 = -1x + -1x2 2i + 2ix = -1x + -1x2 Reorder the terms: 2i + 2ix + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 2i + 2ix + x + x2 = 0 + -1x2 + x2 2i + 2ix + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2i + 2ix + x + x2 = 0 The solution to this equation could not be determined.
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