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Simplifying (2sin(x) + 1)(2cos(x) + 3) = 0 Multiply ins * x (2insx + 1)(2cos(x) + 3) = 0 Reorder the terms: (1 + 2insx)(2cos(x) + 3) = 0 Multiply cos * x (1 + 2insx)(2cosx + 3) = 0 Reorder the terms: (1 + 2insx)(3 + 2cosx) = 0 Multiply (1 + 2insx) * (3 + 2cosx) (1(3 + 2cosx) + 2insx * (3 + 2cosx)) = 0 ((3 * 1 + 2cosx * 1) + 2insx * (3 + 2cosx)) = 0 ((3 + 2cosx) + 2insx * (3 + 2cosx)) = 0 (3 + 2cosx + (3 * 2insx + 2cosx * 2insx)) = 0 Reorder the terms: (3 + 2cosx + (4cinos2x2 + 6insx)) = 0 (3 + 2cosx + (4cinos2x2 + 6insx)) = 0 Reorder the terms: (3 + 4cinos2x2 + 2cosx + 6insx) = 0 (3 + 4cinos2x2 + 2cosx + 6insx) = 0 Solving 3 + 4cinos2x2 + 2cosx + 6insx = 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 + 4cinos2x2 + 2cosx + -3 + 6insx = 0 + -3 Reorder the terms: 3 + -3 + 4cinos2x2 + 2cosx + 6insx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4cinos2x2 + 2cosx + 6insx = 0 + -3 4cinos2x2 + 2cosx + 6insx = 0 + -3 Combine like terms: 0 + -3 = -3 4cinos2x2 + 2cosx + 6insx = -3 Add '-6insx' to each side of the equation. 4cinos2x2 + 2cosx + 6insx + -6insx = -3 + -6insx Combine like terms: 6insx + -6insx = 0 4cinos2x2 + 2cosx + 0 = -3 + -6insx 4cinos2x2 + 2cosx = -3 + -6insx Reorder the terms: 3 + 4cinos2x2 + 2cosx + 6insx = -3 + -6insx + 3 + 6insx Reorder the terms: 3 + 4cinos2x2 + 2cosx + 6insx = -3 + 3 + -6insx + 6insx Combine like terms: -3 + 3 = 0 3 + 4cinos2x2 + 2cosx + 6insx = 0 + -6insx + 6insx 3 + 4cinos2x2 + 2cosx + 6insx = -6insx + 6insx Combine like terms: -6insx + 6insx = 0 3 + 4cinos2x2 + 2cosx + 6insx = 0 The solution to this equation could not be determined.
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