Question 355693
Use the common denominator, {{{t(4t-6)}}}.
{{{(2(4t-6))/(t(4t-6))=t^2/(t(4t-6))}}}
{{{(2(4t-6)-t^2)/(t(4t-6))=0}}}
{{{((8t-12)-t^2)/(t(4t-6))=0}}}
{{{(-t^2+8t-12)/(t(4t-6))=0}}}
{{{-(t^2-8t+12)/(t(4t-6))=0}}}
{{{((t-2)(t-6))/(t(4t-6))=0}}}
Th expression can only equal zero where the numerator equals zero.
{{{(t-2)(t-6)=0}}}
Two solutions:
{{{t-2=0}}}
{{{highlight(t=2)}}}
.
.
.
{{{t-6=0}}}
{{{highlight(t=6)}}}