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Old 07-25-2007   #3
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x^2+a(a-2x)=a^2+x(x-2a)=> x^2+a^2-2ax=a^2+x^2-2ax=> x^2-x^2-2ax+2ax=0=> x(x-x+2a-2a)=0Therefore, this equation will be zero if x=0. THerefore, x=0 is a solution for this equation.