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Simplifying (4cosx + -3)(5sinx + 4) = 0 Reorder the terms: (-3 + 4cosx)(5sinx + 4) = 0 Reorder the terms: (-3 + 4cosx)(4 + 5insx) = 0 Multiply (-3 + 4cosx) * (4 + 5insx) (-3(4 + 5insx) + 4cosx * (4 + 5insx)) = 0 ((4 * -3 + 5insx * -3) + 4cosx * (4 + 5insx)) = 0 ((-12 + -15insx) + 4cosx * (4 + 5insx)) = 0 (-12 + -15insx + (4 * 4cosx + 5insx * 4cosx)) = 0 Reorder the terms: (-12 + -15insx + (20cinos2x2 + 16cosx)) = 0 (-12 + -15insx + (20cinos2x2 + 16cosx)) = 0 Reorder the terms: (-12 + 20cinos2x2 + 16cosx + -15insx) = 0 (-12 + 20cinos2x2 + 16cosx + -15insx) = 0 Solving -12 + 20cinos2x2 + 16cosx + -15insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 20cinos2x2 + 16cosx + 12 + -15insx = 0 + 12 Reorder the terms: -12 + 12 + 20cinos2x2 + 16cosx + -15insx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 20cinos2x2 + 16cosx + -15insx = 0 + 12 20cinos2x2 + 16cosx + -15insx = 0 + 12 Combine like terms: 0 + 12 = 12 20cinos2x2 + 16cosx + -15insx = 12 Add '15insx' to each side of the equation. 20cinos2x2 + 16cosx + -15insx + 15insx = 12 + 15insx Combine like terms: -15insx + 15insx = 0 20cinos2x2 + 16cosx + 0 = 12 + 15insx 20cinos2x2 + 16cosx = 12 + 15insx Reorder the terms: -12 + 20cinos2x2 + 16cosx + -15insx = 12 + 15insx + -12 + -15insx Reorder the terms: -12 + 20cinos2x2 + 16cosx + -15insx = 12 + -12 + 15insx + -15insx Combine like terms: 12 + -12 = 0 -12 + 20cinos2x2 + 16cosx + -15insx = 0 + 15insx + -15insx -12 + 20cinos2x2 + 16cosx + -15insx = 15insx + -15insx Combine like terms: 15insx + -15insx = 0 -12 + 20cinos2x2 + 16cosx + -15insx = 0 The solution to this equation could not be determined.
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