Question

x(3x-5)-9x+15=0

Answer 1

\(x\left(3x-5\right)-9x+15=0\)

\(\Rightarrow x\left(3x-5\right)-3\left(3x-5\right)=0\)

\(\Rightarrow\left(3x-5\right)\left(x-3\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=3\end{matrix}\right.\)

Answer 2

\(\Leftrightarrow x\left(3x-5\right)-3\left(3x-5\right)=0\\ \Leftrightarrow\left(x-3\right)\left(3x-5\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{5}{3}\end{matrix}\right.\)