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Factor the following expression using the greatest common factor then find the solution

Factor the following expression using the greatest common factor then find the solution-example-1

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Answer: w = 4 or w = 0

Explanation:

The greatest common factor is 10w, so you can factor that out to get

10w(w-4) = 0

One or both of the factors being multiplied (10w and w-4) must equal zero for their product to equal zero.

Set both of the factors equal to zero and solve the separate equations:

10w = 0

w = 0

w - 4 = 0

w = 4

w = 4 or w = 0

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