\(\left(2x+3\right)\left(x-5\right)=4x^2+6x\)
\(\Leftrightarrow\left(2x+3\right)\left(x-5\right)=2x.\left(2x+3\right)\)
\(\Leftrightarrow\left(2x+3\right).\left(x-5-2x\right)=0\)
\(\Leftrightarrow\left(2x+3\right)\left(-x-5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{3}{2}\\x=-5\end{matrix}\right.\)
(2x+3)(x+5)=4x2+6x
⇔2x2+10x+3x+15=4x2+6x
⇔-2x2+7x+15=0
⇔(x-5)(2x+3)=0
⇔\(\left[{}\begin{matrix}x=5\\x=-\dfrac{3}{2}\end{matrix}\right.\)
(2x+3)(x−5)=4x2+6x
⇔(2x+3)(x−5)=2x.(2x+3)
⇔(2x+3).(x−5−2x)=0
⇔(2x+3)(−x−5)=0