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Simplifying x2 + 8sin(2x) + 1 = 0 Remove parenthesis around (2x) x2 + 8ins * 2x + 1 = 0 Reorder the terms for easier multiplication: x2 + 8 * 2ins * x + 1 = 0 Multiply 8 * 2 x2 + 16ins * x + 1 = 0 Multiply ins * x x2 + 16insx + 1 = 0 Reorder the terms: 1 + 16insx + x2 = 0 Solving 1 + 16insx + 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 + 16insx + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 16insx + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16insx + x2 = 0 + -1 16insx + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 16insx + x2 = -1 Add '-1x2' to each side of the equation. 16insx + x2 + -1x2 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 16insx + 0 = -1 + -1x2 16insx = -1 + -1x2 Divide each side by '16nsx'. i = -0.0625n-1s-1x-1 + -0.0625n-1s-1x Simplifying i = -0.0625n-1s-1x-1 + -0.0625n-1s-1x
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