Question 317160
{{{6+5/(z-1)=6/(z+3)}}}
Multiply both sides by the common denominator, {{{(z+3)(z-1)}}}
{{{6(z+3)(z-1)+5(z+3)=6(z-1)}}}
{{{6(z^2+2z-3)+5z+15=6z-6}}}
{{{6z^2+12z-18+5z+15=6z-6}}}
{{{6z^2+17z-3=6z-6}}}
{{{6z^2+11z+3=0}}}
{{{(2z+3)(3z+1)=0}}}
Two solutions:
{{{2z+3=0}}}
{{{2z=-3}}}
{{{highlight(z=-3/2)}}}
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{{{3z+1=0}}}
{{{3z=-1}}}
{{{highlight(z=-1/3)}}}