Question

First options are x(3x+8)=03x(x^2+8)=03x(x+8)=0x(3x+24)=0Second options are x=0 x=8x=0 x=-8x=0 x= 24x=0 x= -24

Answer 1

Notice that

$\begin{gathered} 3x^2=3x(x) \\ \text{and} \\ 24x=3x(8) \end{gathered}$

Therefore,

$\Rightarrow3x^2+24x=3x(x+8)$

Thus, the answer to the first question is 3x(x+8)=0.

Solving the equation,

$\begin{gathered} 3x(x+8)=0 \\ \Rightarrow3x=0,x+8=0 \\ \Rightarrow x=0,x=-8 \end{gathered}$

Hence, the answer to the second question is x=0, x=-8