Question 580941
subtracting 135 ___ 2z^2 + 3z - 135 = 0


the object is to factor the quadratic into two binomials and then apply the zero product rule


finding two factors of -135, that can generate a sum of 3, when one of them is multiplied by 2


-15 and 9 are factors, 9 multiplied by 2 and added to -15 gives us 3


(2z - 15)(z + 9) = 0 ___ zero product states that if the product is zero, any or all of the factors are zero


2z - 15 = 0 ___ 2z = 15 ___ z = 15/2


z + 9 = 0 ___ z = -9