Answer
The solutions are -9 and 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.)
$t^2+3t-54=0$
$(t+?)(t-?)=0$ $\longrightarrow$The 3rd term is negative, so the factors have opposite operations
$(t+9)(t-6)=0$
$t+9=0$ OR $t-6=0$ $\longrightarrow$ solve for t using the addition property of equality
$t+9-9=0-9$ OR $t-6+6=0+6$
$t=-9$ OR $t=6$
