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Simplifying 7x2 + 2ix + -1 = 0 Reorder the terms: -1 + 2ix + 7x2 = 0 Solving -1 + 2ix + 7x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2ix + 1 + 7x2 = 0 + 1 Reorder the terms: -1 + 1 + 2ix + 7x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2ix + 7x2 = 0 + 1 2ix + 7x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2ix + 7x2 = 1 Add '-7x2' to each side of the equation. 2ix + 7x2 + -7x2 = 1 + -7x2 Combine like terms: 7x2 + -7x2 = 0 2ix + 0 = 1 + -7x2 2ix = 1 + -7x2 Divide each side by '2x'. i = 0.5x-1 + -3.5x Simplifying i = 0.5x-1 + -3.5x
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