Simone B. | Certified Teacher who makes content easyCertified Teacher who makes content easy

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1

Hi there! I want to demonstrative this problem step by step. There are several steps that you can skip but I'm going step by step so that everything makes sense:

Given 64/w = w(9-5) - start by simplifying inside the parenthesis and you get:
64/w = w(4) - then use the distributive property to get:
64/w = 4w - now you'll want to get the "w" out of the denominator by multiplying by its reciprocal which is "w"
(w)(64/w) = 4w(w) - the "w's" then cancel out
64 = 4w^{2 }- divide both sides by 4
16 = w^{2 }- Since w^{2 }= 16, we need to find the value of "w" only; in order to do that, you have to find the square root of 16
The square root of 16 is 4, therefore w = 4

## Comments

Good answer, but you forgot that w = -4 would also be a valid solution.