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Simplifying (2sin(x) + -1)(2cos2(x) + -1) = 0 Multiply ins * x (2insx + -1)(2cos2(x) + -1) = 0 Reorder the terms: (-1 + 2insx)(2cos2(x) + -1) = 0 Multiply cos2 * x (-1 + 2insx)(2cos2x + -1) = 0 Reorder the terms: (-1 + 2insx)(-1 + 2cos2x) = 0 Multiply (-1 + 2insx) * (-1 + 2cos2x) (-1(-1 + 2cos2x) + 2insx * (-1 + 2cos2x)) = 0 ((-1 * -1 + 2cos2x * -1) + 2insx * (-1 + 2cos2x)) = 0 ((1 + -2cos2x) + 2insx * (-1 + 2cos2x)) = 0 (1 + -2cos2x + (-1 * 2insx + 2cos2x * 2insx)) = 0 Reorder the terms: (1 + -2cos2x + (4cinos3x2 + -2insx)) = 0 (1 + -2cos2x + (4cinos3x2 + -2insx)) = 0 Reorder the terms: (1 + 4cinos3x2 + -2cos2x + -2insx) = 0 (1 + 4cinos3x2 + -2cos2x + -2insx) = 0 Solving 1 + 4cinos3x2 + -2cos2x + -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 + 4cinos3x2 + -2cos2x + -1 + -2insx = 0 + -1 Reorder the terms: 1 + -1 + 4cinos3x2 + -2cos2x + -2insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4cinos3x2 + -2cos2x + -2insx = 0 + -1 4cinos3x2 + -2cos2x + -2insx = 0 + -1 Combine like terms: 0 + -1 = -1 4cinos3x2 + -2cos2x + -2insx = -1 Add '2insx' to each side of the equation. 4cinos3x2 + -2cos2x + -2insx + 2insx = -1 + 2insx Combine like terms: -2insx + 2insx = 0 4cinos3x2 + -2cos2x + 0 = -1 + 2insx 4cinos3x2 + -2cos2x = -1 + 2insx Reorder the terms: 1 + 4cinos3x2 + -2cos2x + -2insx = -1 + 2insx + 1 + -2insx Reorder the terms: 1 + 4cinos3x2 + -2cos2x + -2insx = -1 + 1 + 2insx + -2insx Combine like terms: -1 + 1 = 0 1 + 4cinos3x2 + -2cos2x + -2insx = 0 + 2insx + -2insx 1 + 4cinos3x2 + -2cos2x + -2insx = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 1 + 4cinos3x2 + -2cos2x + -2insx = 0 The solution to this equation could not be determined.
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