0 ÷ x = 0 (unless x is known to have the value zero, as you cannot divide by zero).
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Think about it like this. 0+x would equal x+0 but if you did the opposite then the answer would still equal x+0 because 'x' is an indefinite number and if you times, divide, subtract or plus then it would still equal x+0 or x-0 or x*0 or x divide 0.
of course. As long as it doesn't cause you to divide by 0
x2-8x=0 ( add 8x to both sides) x2 =8x (divide by x) x=8 ( x2divided by x equals x)
No. You cannot divide by zero.
Short answer: because the entire number system would fall to pieces. Explanation: Remember that if you divide by a number: x/y=z then you must be able to multiply the divisor across: x=z*y If you divide by 0 then it would be: x/0=z and multiply the 0 to the other side: x=z*0 anything time 0 = 0 so: x=0 but what if you do 2=0? Then you have: 2/0=z 2=z*0 2=0 Obviously 2 cannot actually be equal to 0 so you can't do that. As for dividing 0/0 the reason is because anything divided by itself must equal 1: x/x=1 but if we could divide by zero then it would result in zero, so 0/0=1 AND 0/0=0 since it can't be both you can't do that.