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