Question

tim x : x(3x-2)-5(2-3x)=0

Answer 1

\(x\left(3x-2\right)-5\left(2-3x\right)=0\)

\(x\left(3x-2\right)+5\left(3x-2\right)=0\)

\(\left(x+5\right)\left(3x-2\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+5=0\\3x-2=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=-5\\x=\dfrac{2}{3}\end{matrix}\right.\)

Answer 2

\(x\left(3x-2\right)-5\left(2-3x\right)=0\\ \Leftrightarrow\left(3x-2\right)\left(x+5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}3x-2=0\\x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-5\end{matrix}\right.\)

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