book Maths Puzzle Numerical Ability

How can I simplify this equation to easily find the solutions for x and y to this equation:

x*y = (x+y)*(x+y-1)/4

Thanks

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book Other Question

A chemist mixes a 10% acid solution with a 50% acid solution to form 400ml. of a 40% solution. How much of each solution should be used in the mixture. I need help solving this problem, please. I haven't taken math in years and I don't even know where to begin. Thanks in advance.

2-(8y-t)/4y+(7y+6t)/3y