Question 972977
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{{{(2x-3)/(x-1)+1=(6x^2-x-6)/(x-1)}}}
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{{{(2x-3)/(x-1)+(x-1)/(x-1)=(6x^2-x-6)/(x-1)}}} Multiply by (x-1).
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{{{2x-3+x-1=6x^2-x-6}}}
{{{3x-4=6x^2-x-6}}}
{{{3x=6x^2-x-2}}}
{{{0=6x^2-4x-2}}}
{{{0=(x-1)(6x+2)}}}
{{{x-1=0}}} {{{or}}} {{{6x+2=0}}}
{{{x=1}}} {{{or}}} {{{6x=-2}}}
{{{x=1}}} {{{or}}} {{{x=-1/3}}}
Since x cannot equal 1 (division by 0)
ANSWER: x=-1/3