\(a,x\left(4x-1\right)=0\\ x=0;4x-1=0\\ x=0;x=\dfrac{1}{4}\\ b,\left(4x-5\right)\left(x-3\right)=0\\ 4x-5=0;x-3=0\\ x=\dfrac{5}{4};x=3\\ c,\left(15-2x\right)\left(x+1\right)=0\\ 15-2x=0;x+1=0\\ x=\dfrac{15}{2};x=-1\\ d,\left(3x-1\right)\left(x-5\right)=0\\ x=\dfrac{1}{3};x=5\\ e,5x\left(x-3\right)-3\left(x-3\right)\\=0\\ \left(5x-3\right)\left(x-3\right)=0\\ 5x-3=0;x-3=0\\ x=\dfrac{3}{5};x=3\)