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Simplifying x2 + -3x + 11 + 3i = 0 Reorder the terms: 11 + 3i + -3x + x2 = 0 Solving 11 + 3i + -3x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 3i + -3x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + 3i + -3x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3i + -3x + x2 = 0 + -11 3i + -3x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 3i + -3x + x2 = -11 Add '3x' to each side of the equation. 3i + -3x + 3x + x2 = -11 + 3x Combine like terms: -3x + 3x = 0 3i + 0 + x2 = -11 + 3x 3i + x2 = -11 + 3x Add '-1x2' to each side of the equation. 3i + x2 + -1x2 = -11 + 3x + -1x2 Combine like terms: x2 + -1x2 = 0 3i + 0 = -11 + 3x + -1x2 3i = -11 + 3x + -1x2 Divide each side by '3'. i = -3.666666667 + x + -0.3333333333x2 Simplifying i = -3.666666667 + x + -0.3333333333x2
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