Answer
$t=15, -11$
Work Step by Step
$t^2-4t-165=0$
$t^2-4t-165+(4/2)^2=0+(4/2)^2$
$t^2-4t+4-165 = 4$
$(t-2)^2-165 =4$
$(t-2)^2-165+165 =4+165$
$(t-2)^2 = 169$
$\sqrt {t-2}^2 =\sqrt {169}$
$t-2 = 13$ or $t-2 = -13$
$t=15, -11$
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