how to solve by factorization and can you explain? x^2= 6x  

Expert Answers

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You need to move all terms that contain x to one side such that:

`x^2 - 6x = 0 `

Notice that both terms have a common factor x, hence, factoring out x yields:

`x(x - 6) = 0`

Since a product of two factors is 0 when a factor or both are zeroes, hence,  you need to set the following equations such that:

`{(x=0),(x-6=0):} =gt {(x=0),(x=6):}`

Hence, evaluating the solution to the given equation using factorization, yields `x = 0`  and `x = 6.` `.`

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