Question

How do you simplify and find the restrictions for `(20+40x)/(20x)`?

Answer 1

See the entire explanation below:

Explanation:

Factor a `20` out of each term in the numerator;

`((20 xx 1) + (20 xx 2x))/(20x) = (20(1 + 2x))/(20x)`

Now, cancel the common term in the numerator and denominator:

`(color(red)(cancel(color(black)(20)))(1 + 2x))/(color(red)(cancel(color(black)(20)))x) = (1 + 2x)/x`

Because you cannot divide by `0` the restriction is `x != 0`

Answer 2

Same thing as the other solution it just looks different.

`=1/x+2`

Explanation:

I am presenting this solution solely to demonstrate that one situation may take on several forms but still have the same inherent value.

Firstly `x!=0` as the equation becomes 'undefined' at that point.
Basically division by 0 is a definite no no!

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Write as: `20/(20x)+(40x)/(20x)`

`=1/x+2`