Question 351984
{{{x/(x-1)-3/x=1/2}}}
Use a common denominator {{{2x(x-1)}}}
{{{(2x^2)/(2x(x-1))-(6(x-1))/(2x(x-1))=(x(x-1))/(2(x(x-1)))}}}
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{{{(2x^2-6x+6)/(2x(x-1))=(x^2-x)/(2(x(x-1)))}}}
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{{{(x^2-5x+6)/(2x(x-1))=0}}}
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{{{((x-2)(x-3))/(2x(x-1))=0}}}
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For the fraction to equal zero, the numerator must equal zero,
{{{(x-2)(x-3)=0}}}
Two solutions:
{{{x-2=0}}}
{{{highlight(x=2)}}}
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{{{x-3=0}}}
{{{highlight(x=3)}}}