Question

Solve the equation by factorize method
$3\sqrt{2x^2}-5x-\sqrt{2}$

Answer 1

Given equation is,

$3\sqrt{2}{x}^2-5x-\sqrt{2}=0$

$⟹3\sqrt{2}{x}^2-6x+x-\sqrt{2}=0$

$⟹3\sqrt{2}x(x-\sqrt{2})+1(x-\sqrt{2})=0$

$⟹(3\sqrt{2}x+1)(x-\sqrt{2})=0$

$⟹3\sqrt{2}x+1=0$ or $x-\sqrt{2}=0$

$\therefore x=\frac{-1}{3\sqrt{2}}$ or $x=\sqrt{2}$