Question

$x^2+12x+35=0$

Answer 1

$$\begin{gathered} \mathrm{Given}: \\ {x}^2+12x+35=0 \\ \Rightarrow x^2+7x+5x+35=0 \\ \Rightarrow x(x+7)+5(x+7)=0 \\ \Rightarrow (x+5)(x+7)=0 \\ \Rightarrow x+5=0\text{or}x+7=0 \\ \Rightarrow x=-5\text{or}x=-7 \\ \text{Hence,}-5\text{and}-7\text{are the roots of the equation}{x}^2+12x+35=0. \end{gathered}$$