\(a,5x+9x+21-35=0\Rightarrow14x-14=0\)
\(\Rightarrow x=1\)
\(b,8x^2+8x+x^2+7x+8-9=0\)
\(\Rightarrow9x^2+15x-1=0\)
\(\Rightarrow x\left(9x+14\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\9x+14=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=\frac{-14}{9}\end{cases}}}\)