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Simplifying 6x3 + (12 + -12i) * x2 + -1(6 + 5i) * x + 4 + 2i = 0 Reorder the terms for easier multiplication: 6x3 + x2(12 + -12i) + -1(6 + 5i) * x + 4 + 2i = 0 6x3 + (12 * x2 + -12i * x2) + -1(6 + 5i) * x + 4 + 2i = 0 Reorder the terms: 6x3 + (-12ix2 + 12x2) + -1(6 + 5i) * x + 4 + 2i = 0 6x3 + (-12ix2 + 12x2) + -1(6 + 5i) * x + 4 + 2i = 0 Reorder the terms for easier multiplication: 6x3 + -12ix2 + 12x2 + -1x(6 + 5i) + 4 + 2i = 0 6x3 + -12ix2 + 12x2 + (6 * -1x + 5i * -1x) + 4 + 2i = 0 Reorder the terms: 6x3 + -12ix2 + 12x2 + (-5ix + -6x) + 4 + 2i = 0 6x3 + -12ix2 + 12x2 + (-5ix + -6x) + 4 + 2i = 0 Reorder the terms: 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 Solving 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + -4 + 6x3 = 0 + -4 Reorder the terms: 4 + -4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 + -4 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 + -4 Combine like terms: 0 + -4 = -4 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = -4 Add '6x' to each side of the equation. 2i + -5ix + -12ix2 + -6x + 12x2 + 6x + 6x3 = -4 + 6x Reorder the terms: 2i + -5ix + -12ix2 + -6x + 6x + 12x2 + 6x3 = -4 + 6x Combine like terms: -6x + 6x = 0 2i + -5ix + -12ix2 + 0 + 12x2 + 6x3 = -4 + 6x 2i + -5ix + -12ix2 + 12x2 + 6x3 = -4 + 6x Add '-12x2' to each side of the equation. 2i + -5ix + -12ix2 + 12x2 + -12x2 + 6x3 = -4 + 6x + -12x2 Combine like terms: 12x2 + -12x2 = 0 2i + -5ix + -12ix2 + 0 + 6x3 = -4 + 6x + -12x2 2i + -5ix + -12ix2 + 6x3 = -4 + 6x + -12x2 Add '-6x3' to each side of the equation. 2i + -5ix + -12ix2 + 6x3 + -6x3 = -4 + 6x + -12x2 + -6x3 Combine like terms: 6x3 + -6x3 = 0 2i + -5ix + -12ix2 + 0 = -4 + 6x + -12x2 + -6x3 2i + -5ix + -12ix2 = -4 + 6x + -12x2 + -6x3 Reorder the terms: 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = -4 + 6x + -12x2 + -6x3 + 4 + -6x + 12x2 + 6x3 Reorder the terms: 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = -4 + 4 + 6x + -6x + -12x2 + 12x2 + -6x3 + 6x3 Combine like terms: -4 + 4 = 0 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 + 6x + -6x + -12x2 + 12x2 + -6x3 + 6x3 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 6x + -6x + -12x2 + 12x2 + -6x3 + 6x3 Combine like terms: 6x + -6x = 0 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 + -12x2 + 12x2 + -6x3 + 6x3 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = -12x2 + 12x2 + -6x3 + 6x3 Combine like terms: -12x2 + 12x2 = 0 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 + -6x3 + 6x3 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = -6x3 + 6x3 Combine like terms: -6x3 + 6x3 = 0 4 + 2i + -5ix + -12ix2 + -6x + 12x2 + 6x3 = 0 The solution to this equation could not be determined.
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