What is the sum of all possible values of x such that 2x(x - 1) = -50?
step 1: expand
2x(x−1)=2x2−2x
2x2−2x=−50
We hen add 50 to both sides to get the quadratic
2x2−2x+50=0
Applying Vietas, we have the sum of the roots is −b/a and the product is c/a where ax2+bx+c=0
so we have 2/2=1