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Simplifying 6sin(2x) + 8cos(x) = 0 Remove parenthesis around (2x) 6ins * 2x + 8cos(x) = 0 Reorder the terms for easier multiplication: 6 * 2ins * x + 8cos(x) = 0 Multiply 6 * 2 12ins * x + 8cos(x) = 0 Multiply ins * x 12insx + 8cos(x) = 0 Multiply cos * x 12insx + 8cosx = 0 Reorder the terms: 8cosx + 12insx = 0 Solving 8cosx + 12insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12insx' to each side of the equation. 8cosx + 12insx + -12insx = 0 + -12insx Combine like terms: 12insx + -12insx = 0 8cosx + 0 = 0 + -12insx 8cosx = 0 + -12insx Remove the zero: 8cosx = -12insx Divide each side by '8osx'. c = -1.5ino-1 Simplifying c = -1.5ino-1
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