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Simplifying sin(5x) + -1sin(x) + -1cos(4x) + -1cos(2x) = 0 Remove parenthesis around (5x) ins * 5x + -1sin(x) + -1cos(4x) + -1cos(2x) = 0 Reorder the terms for easier multiplication: 5ins * x + -1sin(x) + -1cos(4x) + -1cos(2x) = 0 Multiply ins * x 5insx + -1sin(x) + -1cos(4x) + -1cos(2x) = 0 Multiply ins * x 5insx + -1insx + -1cos(4x) + -1cos(2x) = 0 Remove parenthesis around (4x) 5insx + -1insx + -1cos * 4x + -1cos(2x) = 0 Reorder the terms for easier multiplication: 5insx + -1insx + -1 * 4cos * x + -1cos(2x) = 0 Multiply -1 * 4 5insx + -1insx + -4cos * x + -1cos(2x) = 0 Multiply cos * x 5insx + -1insx + -4cosx + -1cos(2x) = 0 Remove parenthesis around (2x) 5insx + -1insx + -4cosx + -1cos * 2x = 0 Reorder the terms for easier multiplication: 5insx + -1insx + -4cosx + -1 * 2cos * x = 0 Multiply -1 * 2 5insx + -1insx + -4cosx + -2cos * x = 0 Multiply cos * x 5insx + -1insx + -4cosx + -2cosx = 0 Reorder the terms: -4cosx + -2cosx + 5insx + -1insx = 0 Combine like terms: -4cosx + -2cosx = -6cosx -6cosx + 5insx + -1insx = 0 Combine like terms: 5insx + -1insx = 4insx -6cosx + 4insx = 0 Solving -6cosx + 4insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4insx' to each side of the equation. -6cosx + 4insx + -4insx = 0 + -4insx Combine like terms: 4insx + -4insx = 0 -6cosx + 0 = 0 + -4insx -6cosx = 0 + -4insx Remove the zero: -6cosx = -4insx Divide each side by '-6osx'. c = 0.6666666667ino-1 Simplifying c = 0.6666666667ino-1
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