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Simplifying (3 + i) * x2 + -1x + 7 = 0 Reorder the terms for easier multiplication: x2(3 + i) + -1x + 7 = 0 (3 * x2 + i * x2) + -1x + 7 = 0 Reorder the terms: (ix2 + 3x2) + -1x + 7 = 0 (ix2 + 3x2) + -1x + 7 = 0 Reorder the terms: 7 + ix2 + -1x + 3x2 = 0 Solving 7 + ix2 + -1x + 3x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + ix2 + -1x + -7 + 3x2 = 0 + -7 Reorder the terms: 7 + -7 + ix2 + -1x + 3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + ix2 + -1x + 3x2 = 0 + -7 ix2 + -1x + 3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 ix2 + -1x + 3x2 = -7 Add 'x' to each side of the equation. ix2 + -1x + x + 3x2 = -7 + x Combine like terms: -1x + x = 0 ix2 + 0 + 3x2 = -7 + x ix2 + 3x2 = -7 + x Add '-3x2' to each side of the equation. ix2 + 3x2 + -3x2 = -7 + x + -3x2 Combine like terms: 3x2 + -3x2 = 0 ix2 + 0 = -7 + x + -3x2 ix2 = -7 + x + -3x2 Divide each side by 'x2'. i = -7x-2 + x-1 + -3 Simplifying i = -7x-2 + x-1 + -3 Reorder the terms: i = -3 + -7x-2 + x-1
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