# How do you solve 2x(x-7)(x+4)=0?

$x = - 4 , 0 , 7$

#### Explanation:

Given cubic equation:

$2 x \left(x - 7\right) \left(x + 4\right) = 0$

$2 x = 0 \setminus \setminus \mathmr{and} \setminus \setminus x - 7 \setminus \setminus \mathmr{and} \setminus \setminus x + 4 = 0$

$x = 0 \setminus \setminus \mathmr{and} \setminus \setminus \setminus x = 7 \setminus \setminus \setminus \mathmr{and} \setminus \setminus \setminus x = - 4$

$x = - 4 , 0 , 7$

Jul 22, 2018

$x = 0$, $x = 7$ and $x = - 4$

#### Explanation:

Let's set all factors equal to zero:

$2 x = 0 \implies x = 0$

$x - 7 = 0 \implies x = 7$

$x + 4 = 0 \implies x = - 4$

Therefore, our zeroes are at $x = 0$, $x = 7$ and $x = - 4$.

Hope this helps!