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Simplifying x2 + x + 2 + 6i = 0 Reorder the terms: 2 + 6i + x + x2 = 0 Solving 2 + 6i + x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6i + x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 6i + x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6i + x + x2 = 0 + -2 6i + x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 6i + x + x2 = -2 Add '-1x' to each side of the equation. 6i + x + -1x + x2 = -2 + -1x Combine like terms: x + -1x = 0 6i + 0 + x2 = -2 + -1x 6i + x2 = -2 + -1x Add '-1x2' to each side of the equation. 6i + x2 + -1x2 = -2 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 6i + 0 = -2 + -1x + -1x2 6i = -2 + -1x + -1x2 Divide each side by '6'. i = -0.3333333333 + -0.1666666667x + -0.1666666667x2 Simplifying i = -0.3333333333 + -0.1666666667x + -0.1666666667x2
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