Answer
$t=4,-2$
Work Step by Step
Given: $8=t(t-2)$
$8=t^2-2t$
$\implies t^2-2t-8=0$
$\implies t^2+2t-4t-8=0$
$\implies t(t-2)+4(t-2)=0$
$\implies (t+2)(t-4)=0$
Solutions are: $t=4,-2$
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