Question

How do you factor `6x^2 = 600`?

Answer 1

`6(x-10)(x+10) = 0`

Explanation:

Begin by setting the equation equal to zero.

`6x^2=600`

`6x^2-600 = 0`
factor out 6

`6(x^2-100) = 0`
recognize that `(x^2-100)` is the difference of two squares
`(x)(x)` and `(10)(10)` with the signs being + and -

`6(x-10)(x+10) = 0`