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Simplifying x2 + 3x + 10i = 0 Reorder the terms: 10i + 3x + x2 = 0 Solving 10i + 3x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3x' to each side of the equation. 10i + 3x + -3x + x2 = 0 + -3x Combine like terms: 3x + -3x = 0 10i + 0 + x2 = 0 + -3x 10i + x2 = 0 + -3x Remove the zero: 10i + x2 = -3x Add '-1x2' to each side of the equation. 10i + x2 + -1x2 = -3x + -1x2 Combine like terms: x2 + -1x2 = 0 10i + 0 = -3x + -1x2 10i = -3x + -1x2 Divide each side by '10'. i = -0.3x + -0.1x2 Simplifying i = -0.3x + -0.1x2
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