the length of a rectangle is represented by 3x-7 and the width by x+4. express the perimeter as a polynomial in simplest form
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Let's rewrite the expression as
So, if , you may divide both sides by
, the equation becomes
, and the only solution is
, which means that this is not an identity (an indentity is tautologically true, no matter the value of x).
If instead , you are multiplying both sides by zero, so the equation becomes
So, it doesn't matter which value for x you choose, because you will always end up with , which is obviously always true.