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Simplifying sin(5x) + sin(x) + -1cos(2x) + cos(4x) = 0 Remove parenthesis around (5x) ins * 5x + sin(x) + -1cos(2x) + cos(4x) = 0 Reorder the terms for easier multiplication: 5ins * x + sin(x) + -1cos(2x) + cos(4x) = 0 Multiply ins * x 5insx + sin(x) + -1cos(2x) + cos(4x) = 0 Multiply ins * x 5insx + insx + -1cos(2x) + cos(4x) = 0 Remove parenthesis around (2x) 5insx + insx + -1cos * 2x + cos(4x) = 0 Reorder the terms for easier multiplication: 5insx + insx + -1 * 2cos * x + cos(4x) = 0 Multiply -1 * 2 5insx + insx + -2cos * x + cos(4x) = 0 Multiply cos * x 5insx + insx + -2cosx + cos(4x) = 0 Remove parenthesis around (4x) 5insx + insx + -2cosx + cos * 4x = 0 Reorder the terms for easier multiplication: 5insx + insx + -2cosx + 4cos * x = 0 Multiply cos * x 5insx + insx + -2cosx + 4cosx = 0 Reorder the terms: -2cosx + 4cosx + 5insx + insx = 0 Combine like terms: -2cosx + 4cosx = 2cosx 2cosx + 5insx + insx = 0 Combine like terms: 5insx + insx = 6insx 2cosx + 6insx = 0 Solving 2cosx + 6insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6insx' to each side of the equation. 2cosx + 6insx + -6insx = 0 + -6insx Combine like terms: 6insx + -6insx = 0 2cosx + 0 = 0 + -6insx 2cosx = 0 + -6insx Remove the zero: 2cosx = -6insx Divide each side by '2osx'. c = -3ino-1 Simplifying c = -3ino-1
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