\(a,\left(x+4\right)^2-x\left(x-5\right)=19\)
\(x^2+8x+16-x^2+5x=19\)
\(8x+5x=19-16\)
\(13x=3\)
\(x=\frac{3}{13}\)
\(b,x^2+3x-10=0\)
\(\Rightarrow x^2+5x-2x-10=0\)
\(\Rightarrow x\left(x+5\right)-2\left(x+5\right)=0\)
\(\Rightarrow\left(x-2\right)\left(x+5\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-2=0\\x+5=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=-5\end{cases}}}\)