Question

Solve by factoring:
8x^2=24x

Answer 1

8x^2-24x=0
8x(x-3)=0
x={0,3}
ask if you need explanation

Answer 2

please do

Answer 3

???

Answer 4

like how did you get 8x(x-3)=0

Answer 5

ok, first we get everything on one side with the other side equal to zero:
8x^2=24x
8x^2-24x=0

Now factor out the 8x.
Notice that everything here is divisible by 8x (that's what we mean by "factor out the 8x)
8x(x-3)

if this step is giving you trouble, think about at least factoring out the x:
8x^2-24x=0
x(8x-24)=0

since either x or what is within the parentheses MUST be zero, we can solve these two expressions seperately:

x=0 8x-24=0
x=0 8x=24
x=0 x=3

so whether you factor out the 8 along with the x or not, you see you get the same answer

x={0,3}

Answer 6

\[8x^2=24x\]

Subtracting 24x from both sides we will get :

\[8x^2-24x=0\]

Do you noticed that this is a quadratic equation?

However, now you could factor out the 8x:

\[8x(x-3)=0 \Rightarrow x =0 \text{ or } x =3\]