Question 176320
Division by zero is undefined. In other words, it is NOT allowed. So {{{x/0}}} is NOT allowed (where x is any number).



Why is this? First, we know that zero multiplied by ANY number is ALWAYS zero. In other words, {{{0*x=0}}} (since 0 groups of something is nothing)

So we can easily say that 0*1=0





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Now let's assume that {{{3/0}}} is possible. What would {{{3/0}}} be equal to? Let's say that {{{3/0=0}}} (hypothetically of course)



{{{3/0=0}}} Start with the faulty equation



{{{3=0*0}}} Multiply both sides by 0 (ie move the zero in the denominator to the right side)



{{{3=0}}} Multiply. 


Since this equation is false, this means that {{{3/0=0}}} is NOT true.



In general, the equation {{{3/0=x}}} would become {{{3=0*x}}} which would inevitably simplify to {{{3=0}}} (which is again false).