Question

How do you factor `16x^2=56x`?

Answer 1

`8x(2x-7)=0`

Explanation:

We will move the right-hand side to the left-hand side :

`16x^2 = 56x` <=> `16x^2 - 56x = 0`

After that, we have to find the common factor inside the subtraction :

`16x^2 = color(red)(2*2*2)*2*x*color(green)x` and `56x = color(red)(2*2*2)*7*color(green)x`

Then the common factor of `16x^2` and `56x` is `color(red)(2*2*2)*color(green)x = 8x` and so : `16x^2 = 8x * 2x` and `56x = 8x *7`

Therefore, the factorization of `16x^2-56x=0` is :
`8x*2x - 8x*7 = 0` <=> `8x.(2x-7)=0`

And now you can solve this equation with the property of multiplication!