(2t−3s)(t−s)=0 ⟹ (2t−3s)=0 or (t−s)=0(2t - 3s)(t - s) = 0 \implies (2t - 3s) = \text{0 or } (t - s) = 0(2t−3s)(t−s)=0⟹(2t−3s)=0 or (t−s)=0
2t−3s=0 ⟹ 2t=3s∴ts=322t - 3s = 0 \implies 2t = 3s \therefore \frac{t}{s} = \frac{3}{2}2t−3s=0⟹2t=3s∴st=23
t−s=0 ⟹ t=s∴ts=1t - s = 0 \implies t = s \therefore \frac{t}{s} = 1t−s=0⟹t=s∴st=1
ts=32 or 1\frac{t}{s} = \frac{3}{2} \text{ or } 1st=23 or 1