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Simplifying x2 + -8x + 30i = 0 Reorder the terms: 30i + -8x + x2 = 0 Solving 30i + -8x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8x' to each side of the equation. 30i + -8x + 8x + x2 = 0 + 8x Combine like terms: -8x + 8x = 0 30i + 0 + x2 = 0 + 8x 30i + x2 = 0 + 8x Remove the zero: 30i + x2 = 8x Add '-1x2' to each side of the equation. 30i + x2 + -1x2 = 8x + -1x2 Combine like terms: x2 + -1x2 = 0 30i + 0 = 8x + -1x2 30i = 8x + -1x2 Divide each side by '30'. i = 0.2666666667x + -0.03333333333x2 Simplifying i = 0.2666666667x + -0.03333333333x2
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