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Simplifying (2sinx + 1)(2cosx + -3) = 0 Reorder the terms: (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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