Browse · MATH Print → jmc algebra intermediate Problem Compute the sum of all the roots of (2x+3)(x−4)+(2x+3)(x−6)=0. Solution — click to reveal The quadratic factors as (2x+3)(x−4+x−6)=(2x+3)(2x−10)=2(2x+3)(x−5). Thus, the roots are −23 and 5, and their sum is 27. Final answer \frac{7}{2} ← Previous problem Next problem →