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Simplifying 2 + 4ix2 + mx + n = 0 Solving 2 + 4ix2 + mx + n = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4ix2 + mx + -2 + n = 0 + -2 Reorder the terms: 2 + -2 + 4ix2 + mx + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4ix2 + mx + n = 0 + -2 4ix2 + mx + n = 0 + -2 Combine like terms: 0 + -2 = -2 4ix2 + mx + n = -2 Add '-1mx' to each side of the equation. 4ix2 + mx + -1mx + n = -2 + -1mx Combine like terms: mx + -1mx = 0 4ix2 + 0 + n = -2 + -1mx 4ix2 + n = -2 + -1mx Add '-1n' to each side of the equation. 4ix2 + n + -1n = -2 + -1mx + -1n Combine like terms: n + -1n = 0 4ix2 + 0 = -2 + -1mx + -1n 4ix2 = -2 + -1mx + -1n Divide each side by '4x2'. i = -0.5x-2 + -0.25mx-1 + -0.25nx-2 Simplifying i = -0.5x-2 + -0.25mx-1 + -0.25nx-2 Reorder the terms: i = -0.25mx-1 + -0.25nx-2 + -0.5x-2
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