The value of m for which one of the roots of x2−3x+2m=0 is double of one of the roots of x2−x+m=0 is

Let α be the root of x2−x+m=0 and 2α be the root ofx2−3x+2m=0. Thenα2−α+m=0 and 4α2−6α+2m=0Eliminating α, m2=−2m⇒m=0, m=−2