SOLUTION: Can x (x – 5) = 0 be solved by dividing both sides of the equation by x? Explain your answer.

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Question 324081: Can x (x – 5) = 0 be solved by dividing both sides of the equation by x?
Explain your answer.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, when you divide by a number, you inherently make the assumption that the number is not zero, since division by zero is undefined in mathematics.
In this case, by the zero product property, x does equal zero so you cannot divide by it.