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Simplifying (2sinx + 1)(2cosx + 1) = 0 Reorder the terms: (1 + 2insx)(2cosx + 1) = 0 Reorder the terms: (1 + 2insx)(1 + 2cosx) = 0 Multiply (1 + 2insx) * (1 + 2cosx) (1(1 + 2cosx) + 2insx * (1 + 2cosx)) = 0 ((1 * 1 + 2cosx * 1) + 2insx * (1 + 2cosx)) = 0 ((1 + 2cosx) + 2insx * (1 + 2cosx)) = 0 (1 + 2cosx + (1 * 2insx + 2cosx * 2insx)) = 0 Reorder the terms: (1 + 2cosx + (4cinos2x2 + 2insx)) = 0 (1 + 2cosx + (4cinos2x2 + 2insx)) = 0 Reorder the terms: (1 + 4cinos2x2 + 2cosx + 2insx) = 0 (1 + 4cinos2x2 + 2cosx + 2insx) = 0 Solving 1 + 4cinos2x2 + 2cosx + 2insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4cinos2x2 + 2cosx + -1 + 2insx = 0 + -1 Reorder the terms: 1 + -1 + 4cinos2x2 + 2cosx + 2insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cinos2x2 + 2cosx + 2insx = 0 + -1 4cinos2x2 + 2cosx + 2insx = 0 + -1 Combine like terms: 0 + -1 = -1 4cinos2x2 + 2cosx + 2insx = -1 Add '-2insx' to each side of the equation. 4cinos2x2 + 2cosx + 2insx + -2insx = -1 + -2insx Combine like terms: 2insx + -2insx = 0 4cinos2x2 + 2cosx + 0 = -1 + -2insx 4cinos2x2 + 2cosx = -1 + -2insx Reorder the terms: 1 + 4cinos2x2 + 2cosx + 2insx = -1 + -2insx + 1 + 2insx Reorder the terms: 1 + 4cinos2x2 + 2cosx + 2insx = -1 + 1 + -2insx + 2insx Combine like terms: -1 + 1 = 0 1 + 4cinos2x2 + 2cosx + 2insx = 0 + -2insx + 2insx 1 + 4cinos2x2 + 2cosx + 2insx = -2insx + 2insx Combine like terms: -2insx + 2insx = 0 1 + 4cinos2x2 + 2cosx + 2insx = 0 The solution to this equation could not be determined.
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