ax2 + a = a2x + x

solve for x

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ax^2+a=a^2x+x
ax^2+a-a^2x-x=0
ax^2-a^2x+a-x=0
ax(x-a)-(-a+x)=0
(ax-1)(x-a)=0
ax-1=0, x-a=0
x=1/a, x=a......................@*
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