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