Question

\((x-3)(2x-1)=5(x-3)\)

Answer 1

\(( x − 3 ) ( 2 x − 1 ) = 5 ( x − 3 )\)

\(<=>2x^2-x-6x+3=5x-15\)

\(<=>2x^2-7x+3=5x-15\)

\(<=>2x62-7x+3-5x+15=0\)

\(<=>2x^2-12x=18=0\)

\(<=> (2x^2-12x+18):2=0\)

\(<=> x^2-6x+9=0\)

\(<=>(x-3)^2=0\)

\(<=>x=3\)

Answer 2

\(\Leftrightarrow\left(x-3\right)\left(2x-1\right)-5\left(x-3\right)=0\\ \Leftrightarrow\left(x-3\right)\left(2x-1-5\right)=0\\ \Leftrightarrow\left(x-3\right)\left(2x-6\right)=0\\ \Leftrightarrow2\left(x-3\right)^2=0\\ \Leftrightarrow\left(x-3\right)^2=0\\ \Leftrightarrow x-3=0\\ \Leftrightarrow x=3\)