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Simplifying (2sinx + -1)(2cosx + 4) = 0 Reorder the terms: (-1 + 2insx)(2cosx + 4) = 0 Reorder the terms: (-1 + 2insx)(4 + 2cosx) = 0 Multiply (-1 + 2insx) * (4 + 2cosx) (-1(4 + 2cosx) + 2insx * (4 + 2cosx)) = 0 ((4 * -1 + 2cosx * -1) + 2insx * (4 + 2cosx)) = 0 ((-4 + -2cosx) + 2insx * (4 + 2cosx)) = 0 (-4 + -2cosx + (4 * 2insx + 2cosx * 2insx)) = 0 Reorder the terms: (-4 + -2cosx + (4cinos2x2 + 8insx)) = 0 (-4 + -2cosx + (4cinos2x2 + 8insx)) = 0 Reorder the terms: (-4 + 4cinos2x2 + -2cosx + 8insx) = 0 (-4 + 4cinos2x2 + -2cosx + 8insx) = 0 Solving -4 + 4cinos2x2 + -2cosx + 8insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4cinos2x2 + -2cosx + 4 + 8insx = 0 + 4 Reorder the terms: -4 + 4 + 4cinos2x2 + -2cosx + 8insx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4cinos2x2 + -2cosx + 8insx = 0 + 4 4cinos2x2 + -2cosx + 8insx = 0 + 4 Combine like terms: 0 + 4 = 4 4cinos2x2 + -2cosx + 8insx = 4 Add '-8insx' to each side of the equation. 4cinos2x2 + -2cosx + 8insx + -8insx = 4 + -8insx Combine like terms: 8insx + -8insx = 0 4cinos2x2 + -2cosx + 0 = 4 + -8insx 4cinos2x2 + -2cosx = 4 + -8insx Reorder the terms: -4 + 4cinos2x2 + -2cosx + 8insx = 4 + -8insx + -4 + 8insx Reorder the terms: -4 + 4cinos2x2 + -2cosx + 8insx = 4 + -4 + -8insx + 8insx Combine like terms: 4 + -4 = 0 -4 + 4cinos2x2 + -2cosx + 8insx = 0 + -8insx + 8insx -4 + 4cinos2x2 + -2cosx + 8insx = -8insx + 8insx Combine like terms: -8insx + 8insx = 0 -4 + 4cinos2x2 + -2cosx + 8insx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 2cinos2x2 + -1cosx + 4insx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 2cinos2x2 + -1cosx + 4insx)' equal to zero and attempt to solve: Simplifying -2 + 2cinos2x2 + -1cosx + 4insx = 0 Solving -2 + 2cinos2x2 + -1cosx + 4insx = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2cinos2x2 + -1cosx + 2 + 4insx = 0 + 2 Reorder the terms: -2 + 2 + 2cinos2x2 + -1cosx + 4insx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2cinos2x2 + -1cosx + 4insx = 0 + 2 2cinos2x2 + -1cosx + 4insx = 0 + 2 Combine like terms: 0 + 2 = 2 2cinos2x2 + -1cosx + 4insx = 2 Add '-4insx' to each side of the equation. 2cinos2x2 + -1cosx + 4insx + -4insx = 2 + -4insx Combine like terms: 4insx + -4insx = 0 2cinos2x2 + -1cosx + 0 = 2 + -4insx 2cinos2x2 + -1cosx = 2 + -4insx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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