Answer: T=-1/2 and T=-4
Explanation:
you want to find the values of T that would make the equation true, we start by setting the equation to 0
2T^2+7T+4=0
next you want to factor the trinomial
(2T+1)(T+4)=0
now we can use the zero product property that states if the product of two factors is zero, at least one of the factors must be zero. so we set each factor to equal to zero and solve for T
2T+1=0 ->T=-1/2+4=0 -> T=-4
this gives us the solutions to the trinomial, T=-1/2, and T=-4