Question

a) (2x+1) (3x-2)=(5x-8)(2x+1)

Answer 1

a) \(\left(2x+1\right)\left(3x-2\right)=\left(5x-8\right)\left(2x+1\right)\\ \Rightarrow3x-2=5x-8\\ \Rightarrow-2x=-6\\ \Rightarrow x=3\) 

Answer 2

\(\left(2x+1\right)\left(3x-2\right)=\left(5x-8\right)\left(2x+1\right)\)

\(\Leftrightarrow\left(2x+1\right)\left(3x-2\right)-\left(5x-8\right)\left(2x+1\right)=0\)

\(\Leftrightarrow\left(2x+1\right)\left(3x-2-5x+8\right)=0\)

\(\Leftrightarrow\left(2x+1\right)\left(-2x+6\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}2x+1=0\\-2x+6=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{2}\\x=3\end{matrix}\right.\)

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