Question 934081
{{{-8 = 22t -6t^2 }}}

{{{6t^2-22t -8 = 0}}}....all terms divide by {{{2}}}

{{{6t^2/2-22t/2 -8/2 = 0}}}

{{{3t^2-11t -4 = 0}}}...factor; write {{{-11t}}} as {{{t-12t}}}

{{{3t^2+t-12t-4 = 0}}}...group

{{{(3t^2+t)-(12t+4) = 0}}}

{{{t(3t+1)-4(3t+1) = 0}}}

{{{(t-4)(3t+1) = 0}}}

solutions:

if {{{(t-4)= 0}}}=> {{{highlight(t=4)}}}

if {{{(3t+1) = 0}}}=>{{{3t=-1}}}=>{{{highlight(t=-1/3)}}}