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Simplifying (2sinx + -1)(cosx + 1) = 0 Reorder the terms: (-1 + 2insx)(cosx + 1) = 0 Reorder the terms: (-1 + 2insx)(1 + cosx) = 0 Multiply (-1 + 2insx) * (1 + cosx) (-1(1 + cosx) + 2insx * (1 + cosx)) = 0 ((1 * -1 + cosx * -1) + 2insx * (1 + cosx)) = 0 ((-1 + -1cosx) + 2insx * (1 + cosx)) = 0 (-1 + -1cosx + (1 * 2insx + cosx * 2insx)) = 0 Reorder the terms: (-1 + -1cosx + (2cinos2x2 + 2insx)) = 0 (-1 + -1cosx + (2cinos2x2 + 2insx)) = 0 Reorder the terms: (-1 + 2cinos2x2 + -1cosx + 2insx) = 0 (-1 + 2cinos2x2 + -1cosx + 2insx) = 0 Solving -1 + 2cinos2x2 + -1cosx + 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 + 2cinos2x2 + -1cosx + 1 + 2insx = 0 + 1 Reorder the terms: -1 + 1 + 2cinos2x2 + -1cosx + 2insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2cinos2x2 + -1cosx + 2insx = 0 + 1 2cinos2x2 + -1cosx + 2insx = 0 + 1 Combine like terms: 0 + 1 = 1 2cinos2x2 + -1cosx + 2insx = 1 Add '-2insx' to each side of the equation. 2cinos2x2 + -1cosx + 2insx + -2insx = 1 + -2insx Combine like terms: 2insx + -2insx = 0 2cinos2x2 + -1cosx + 0 = 1 + -2insx 2cinos2x2 + -1cosx = 1 + -2insx Reorder the terms: -1 + 2cinos2x2 + -1cosx + 2insx = 1 + -2insx + -1 + 2insx Reorder the terms: -1 + 2cinos2x2 + -1cosx + 2insx = 1 + -1 + -2insx + 2insx Combine like terms: 1 + -1 = 0 -1 + 2cinos2x2 + -1cosx + 2insx = 0 + -2insx + 2insx -1 + 2cinos2x2 + -1cosx + 2insx = -2insx + 2insx Combine like terms: -2insx + 2insx = 0 -1 + 2cinos2x2 + -1cosx + 2insx = 0 The solution to this equation could not be determined.
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