Question

Solve the equation using the Zero­Product Property. 6x(3x + 1) = 0

Answer 1

   
$\displaystyle \\ 6x(3x + 1) = 0 \\ \\ \Longrightarrow ~~ 6x = 0~~\texttt{or}~~3x+1=0 \\ \\ 6x = 0 ~~\Longrightarrow ~~ x_1 = \frac{0}{6} = \boxed{0} \\ \\ 3x+1 = 0 ~~\Longrightarrow ~~ 3x = -1 ~~\Longrightarrow ~~ x_2 = \frac{-1}{3} = \boxed{-\frac{1}{3}}$