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Simplifying (2cosx + 3)(sinx + 1) = 0 Reorder the terms: (3 + 2cosx)(sinx + 1) = 0 Reorder the terms: (3 + 2cosx)(1 + insx) = 0 Multiply (3 + 2cosx) * (1 + insx) (3(1 + insx) + 2cosx * (1 + insx)) = 0 ((1 * 3 + insx * 3) + 2cosx * (1 + insx)) = 0 ((3 + 3insx) + 2cosx * (1 + insx)) = 0 (3 + 3insx + (1 * 2cosx + insx * 2cosx)) = 0 Reorder the terms: (3 + 3insx + (2cinos2x2 + 2cosx)) = 0 (3 + 3insx + (2cinos2x2 + 2cosx)) = 0 Reorder the terms: (3 + 2cinos2x2 + 2cosx + 3insx) = 0 (3 + 2cinos2x2 + 2cosx + 3insx) = 0 Solving 3 + 2cinos2x2 + 2cosx + 3insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2cinos2x2 + 2cosx + -3 + 3insx = 0 + -3 Reorder the terms: 3 + -3 + 2cinos2x2 + 2cosx + 3insx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2cinos2x2 + 2cosx + 3insx = 0 + -3 2cinos2x2 + 2cosx + 3insx = 0 + -3 Combine like terms: 0 + -3 = -3 2cinos2x2 + 2cosx + 3insx = -3 Add '-3insx' to each side of the equation. 2cinos2x2 + 2cosx + 3insx + -3insx = -3 + -3insx Combine like terms: 3insx + -3insx = 0 2cinos2x2 + 2cosx + 0 = -3 + -3insx 2cinos2x2 + 2cosx = -3 + -3insx Reorder the terms: 3 + 2cinos2x2 + 2cosx + 3insx = -3 + -3insx + 3 + 3insx Reorder the terms: 3 + 2cinos2x2 + 2cosx + 3insx = -3 + 3 + -3insx + 3insx Combine like terms: -3 + 3 = 0 3 + 2cinos2x2 + 2cosx + 3insx = 0 + -3insx + 3insx 3 + 2cinos2x2 + 2cosx + 3insx = -3insx + 3insx Combine like terms: -3insx + 3insx = 0 3 + 2cinos2x2 + 2cosx + 3insx = 0 The solution to this equation could not be determined.
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