Question

Please help, describe the error in the solving the equation

Answer 1

3. The second line should be $6x = 0$ or $x+5 =0.$

3. So the roots are $x=0$ or $x = -5.$

Step-by-step explanation:

Step 1:

If the function equals 0, we substitute all the separate factors to 0.

We keep the variable on the left side while all the other values go to the right side.

The given equation is $6x (x+5)= 0.$

Step 2:

As given in step 1, we substitute all the separate factors to 0.

So $6x = 0$ or $x+5 =0.$

So the roots are

$6x = 0, x = \frac{0}{6} = 0, x = 0.$

$x+5=0, x = 0-5=-5, x=-5.$

So the roots are $x=0$ or $x = -5.$