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Simplifying x2 + -14ix + 49 = 0 Reorder the terms: 49 + -14ix + x2 = 0 Solving 49 + -14ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -14ix + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -14ix + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -14ix + x2 = 0 + -49 -14ix + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -14ix + x2 = -49 Add '-1x2' to each side of the equation. -14ix + x2 + -1x2 = -49 + -1x2 Combine like terms: x2 + -1x2 = 0 -14ix + 0 = -49 + -1x2 -14ix = -49 + -1x2 Divide each side by '-14x'. i = 3.5x-1 + 0.07142857143x Simplifying i = 3.5x-1 + 0.07142857143x
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