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Simplifying x2 + 6xi + -10 = 0 Reorder the terms: -10 + 6ix + x2 = 0 Solving -10 + 6ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6ix + 10 + x2 = 0 + 10 Reorder the terms: -10 + 10 + 6ix + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6ix + x2 = 0 + 10 6ix + x2 = 0 + 10 Combine like terms: 0 + 10 = 10 6ix + x2 = 10 Add '-1x2' to each side of the equation. 6ix + x2 + -1x2 = 10 + -1x2 Combine like terms: x2 + -1x2 = 0 6ix + 0 = 10 + -1x2 6ix = 10 + -1x2 Divide each side by '6x'. i = 1.666666667x-1 + -0.1666666667x Simplifying i = 1.666666667x-1 + -0.1666666667x
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