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how do I solve an equation and check for an extraneous root for 7 vw+9 =56 ?

how to solve either by eliminating or including 7 and 56 ?

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Did you mean 7 * sqrt(w+9) = 56?

If so, first divide both sides by 7:
sqrt(w+9) = 8

Now square both sides:
w+9 = 64

Subtract 9 from both sides:
w = 55

Check:
7 * sqrt(55+9) =? 56
7 * sqrt(64) =? 56
7 * 8 =? 56
56 = 56 √

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