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This text involves several mathematical problems. Firstly, solving a linear equation with one unknown, 5x=1, involves isolating the variable x by dividing both sides by 5. Secondly, differentiating the function f(x)=5x involves applying the power rule, resulting in f'(x)=5. Thirdly, solving the quadratic equation 4x^2+5x+1=0 by factoring requires finding two numbers that multiply to 4 and add to 5. Lastly, the quintic trigonometric equation sin(5x)cos(5x)=1 is more complex and may require trigonometric identities or numerical methods for solution.

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Risk warning: Digital asset trading is an emerging industry with bright prospects, but it also comes with huge risks as it is a new market. The risk is especially high in leveraged trading since leverage magnifies profits and amplifies risks at the same time. Please make sure you have a thorough understanding of the industry, the leveraged trading models, and the rules of trading before opening a position. Additionally, we strongly recommend that you identify your risk tolerance and only accept the risks you are willing to take. All trading involves risks, so you must be cautious when entering the market.

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