\(\left(2x-5\right)\left(3x+b\right)=6x^2+2bx-15x-5b=6x^2+x\left(2b-15\right)-5b\)
\(\Rightarrow\left\{{}\begin{matrix}ax^2=6x^2\\x=x\left(2b-15\right)\\c=-5b\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}a=6\\2b-15=1\\c=-5b\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}a=6\\b=8\\c=-40\end{matrix}\right.\)
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