In the equation above

MATHEMATICS · Subjective · AoPS · Mathematics · One-Variable Linear Equations · One-Variable Linear Equations

Problem

(2x+5)(-mx+9)=0

In the equation above,

m

is a constant. If the equation has the solutions

x=-\frac{5}{2}

and

x=\frac{3}{2}

, what is the value of

m