Question 992286
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{{{(1/x)+1/(x-1)=(3/2)}}} Multiply through by x.
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{{{1+x/(x-1)=(3/2)(x)}}} Multiply through by (x-1)
{{{(x-1)+x=(3/2)(x)(x-1)}}} Multiply each side by (2/3).
{{{(4/3)x-(2/3)=x^2-x}}} Subtract (4/3)x from each side.
{{{(-2/3)=x^2-(7/3)x}}} Add 2/3 to each side
{{{0=x^2-(7/3)x+(2/3)}}} Multiply by 3.
{{{0=3x^2-7x+2}}}
{{{0=(x-2)(3x-1)}}}
{{{x-2=0}}} {{{OR}}} {{{3x-1=0}}}
{{{x=2}}} {{{OR}}} {{{3x=1}}}
{{{x=2}}} {{{OR}}} {{{x=(1/3)}}}