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Simplifying 5sin(5x) + cos(5x) = 0 Remove parenthesis around (5x) 5ins * 5x + cos(5x) = 0 Reorder the terms for easier multiplication: 5 * 5ins * x + cos(5x) = 0 Multiply 5 * 5 25ins * x + cos(5x) = 0 Multiply ins * x 25insx + cos(5x) = 0 Remove parenthesis around (5x) 25insx + cos * 5x = 0 Reorder the terms for easier multiplication: 25insx + 5cos * x = 0 Multiply cos * x 25insx + 5cosx = 0 Reorder the terms: 5cosx + 25insx = 0 Solving 5cosx + 25insx = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25insx' to each side of the equation. 5cosx + 25insx + -25insx = 0 + -25insx Combine like terms: 25insx + -25insx = 0 5cosx + 0 = 0 + -25insx 5cosx = 0 + -25insx Remove the zero: 5cosx = -25insx Divide each side by '5osx'. c = -5ino-1 Simplifying c = -5ino-1
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