Answer
t=−9 OR t=6
Work Step by Step
Factor the equation, then use the zero product property. (If the product is 0, one of the factors is zero.)
$t^2+3t−54=0 $
(t+?)(t−?)=0 ⟶The 3rd term is negative, so the factors have opposite operations
(t+9)(t−6)=0
t+9=0 OR t−6=0 ⟶ solve for t using the addition property of equality
t+9−9=0−9 OR t−6+6=0+6
t=−9 OR t=6
