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Simplifying 3x2 + (-10 + -8i) * x + 20i = 0 Reorder the terms for easier multiplication: 3x2 + x(-10 + -8i) + 20i = 0 3x2 + (-10 * x + -8i * x) + 20i = 0 Reorder the terms: 3x2 + (-8ix + -10x) + 20i = 0 3x2 + (-8ix + -10x) + 20i = 0 Reorder the terms: 20i + -8ix + -10x + 3x2 = 0 Solving 20i + -8ix + -10x + 3x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10x' to each side of the equation. 20i + -8ix + -10x + 10x + 3x2 = 0 + 10x Combine like terms: -10x + 10x = 0 20i + -8ix + 0 + 3x2 = 0 + 10x 20i + -8ix + 3x2 = 0 + 10x Remove the zero: 20i + -8ix + 3x2 = 10x Add '-3x2' to each side of the equation. 20i + -8ix + 3x2 + -3x2 = 10x + -3x2 Combine like terms: 3x2 + -3x2 = 0 20i + -8ix + 0 = 10x + -3x2 20i + -8ix = 10x + -3x2 Reorder the terms: 20i + -8ix + -10x + 3x2 = 10x + -10x + -3x2 + 3x2 Combine like terms: 10x + -10x = 0 20i + -8ix + -10x + 3x2 = 0 + -3x2 + 3x2 20i + -8ix + -10x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 20i + -8ix + -10x + 3x2 = 0 The solution to this equation could not be determined.
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