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