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Simplifying 3ix2 + -1(4 + 5i) * x + (3 + i) = 0 Reorder the terms for easier multiplication: 3ix2 + -1x(4 + 5i) + (3 + i) = 0 3ix2 + (4 * -1x + 5i * -1x) + (3 + i) = 0 Reorder the terms: 3ix2 + (-5ix + -4x) + (3 + i) = 0 3ix2 + (-5ix + -4x) + (3 + i) = 0 Remove parenthesis around (3 + i) 3ix2 + -5ix + -4x + 3 + i = 0 Reorder the terms: 3 + i + -5ix + 3ix2 + -4x = 0 Solving 3 + i + -5ix + 3ix2 + -4x = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + i + -5ix + 3ix2 + -3 + -4x = 0 + -3 Reorder the terms: 3 + -3 + i + -5ix + 3ix2 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + i + -5ix + 3ix2 + -4x = 0 + -3 i + -5ix + 3ix2 + -4x = 0 + -3 Combine like terms: 0 + -3 = -3 i + -5ix + 3ix2 + -4x = -3 Add '4x' to each side of the equation. i + -5ix + 3ix2 + -4x + 4x = -3 + 4x Combine like terms: -4x + 4x = 0 i + -5ix + 3ix2 + 0 = -3 + 4x i + -5ix + 3ix2 = -3 + 4x Reorder the terms: 3 + i + -5ix + 3ix2 + -4x = -3 + 4x + 3 + -4x Reorder the terms: 3 + i + -5ix + 3ix2 + -4x = -3 + 3 + 4x + -4x Combine like terms: -3 + 3 = 0 3 + i + -5ix + 3ix2 + -4x = 0 + 4x + -4x 3 + i + -5ix + 3ix2 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 3 + i + -5ix + 3ix2 + -4x = 0 The solution to this equation could not be determined.
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