x^2a=x/a

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Solution for x^2a=x/a equation: 


x in (-oo:+oo)

a*x^2 = x/a // - x/a

a*x^2-(x/a) = 0

a*x^2-(a^-1*x) = 0

a^-1*x*(a^2*x-1) = 0

a^2*x-1 = 0 // + 1

a^2*x = 1 // : a^2

x = 1/(a^2)

x/a = 0

a^-1*x = 0 // : a^-1

x = 0

x in { 1/(a^2), 0 }

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