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Simplifying (2cos(x) + -1)(3sin(x) + -4) = 0 Multiply cos * x (2cosx + -1)(3sin(x) + -4) = 0 Reorder the terms: (-1 + 2cosx)(3sin(x) + -4) = 0 Multiply ins * x (-1 + 2cosx)(3insx + -4) = 0 Reorder the terms: (-1 + 2cosx)(-4 + 3insx) = 0 Multiply (-1 + 2cosx) * (-4 + 3insx) (-1(-4 + 3insx) + 2cosx * (-4 + 3insx)) = 0 ((-4 * -1 + 3insx * -1) + 2cosx * (-4 + 3insx)) = 0 ((4 + -3insx) + 2cosx * (-4 + 3insx)) = 0 (4 + -3insx + (-4 * 2cosx + 3insx * 2cosx)) = 0 Reorder the terms: (4 + -3insx + (6cinos2x2 + -8cosx)) = 0 (4 + -3insx + (6cinos2x2 + -8cosx)) = 0 Reorder the terms: (4 + 6cinos2x2 + -8cosx + -3insx) = 0 (4 + 6cinos2x2 + -8cosx + -3insx) = 0 Solving 4 + 6cinos2x2 + -8cosx + -3insx = 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 + 6cinos2x2 + -8cosx + -4 + -3insx = 0 + -4 Reorder the terms: 4 + -4 + 6cinos2x2 + -8cosx + -3insx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6cinos2x2 + -8cosx + -3insx = 0 + -4 6cinos2x2 + -8cosx + -3insx = 0 + -4 Combine like terms: 0 + -4 = -4 6cinos2x2 + -8cosx + -3insx = -4 Add '3insx' to each side of the equation. 6cinos2x2 + -8cosx + -3insx + 3insx = -4 + 3insx Combine like terms: -3insx + 3insx = 0 6cinos2x2 + -8cosx + 0 = -4 + 3insx 6cinos2x2 + -8cosx = -4 + 3insx Reorder the terms: 4 + 6cinos2x2 + -8cosx + -3insx = -4 + 3insx + 4 + -3insx Reorder the terms: 4 + 6cinos2x2 + -8cosx + -3insx = -4 + 4 + 3insx + -3insx Combine like terms: -4 + 4 = 0 4 + 6cinos2x2 + -8cosx + -3insx = 0 + 3insx + -3insx 4 + 6cinos2x2 + -8cosx + -3insx = 3insx + -3insx Combine like terms: 3insx + -3insx = 0 4 + 6cinos2x2 + -8cosx + -3insx = 0 The solution to this equation could not be determined.
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