Question

Solve by factorization method: $\sqrt{3}{x}^2+10x+7\sqrt{3}=0$

Answer 1

$\sqrt{3}{x}^2+10x+7\sqrt{3}=0\Rightarrow \sqrt{3}{x}^2+3x+7x+7\sqrt{3}=0\Rightarrow \sqrt{3}x(x+\sqrt{3})+7(x+\sqrt{3})=0\Rightarrow (x+\sqrt{3})(\sqrt{3}x+7)=0\Rightarrow x=-\sqrt{3}orx=\frac{-7}{\sqrt{3}}$