SOLUTION: Solve the equation by factoring. 49w(w)-25=0 (w is squared)

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Question 447096: Solve the equation by factoring. 49w(w)-25=0
(w is squared)
Found 2 solutions by poliphob3.14, chriswen:
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
= %287w%29%5E2-5%5E2=%287w-5%29%287w%2B5%29=0.Solve two equivalent equations:
7w-5=0=>w=5%2F7 and 7w%2B5=0=>w=-5%2F7.
Answer:The roots are:{-5/7, 5/7}

Answer by chriswen(106) About Me  (Show Source):
You can put this solution on YOUR website!
49w%5E2-25=0
%287w%29%5E2-%285%29%5E2=0
%287w%2B5%29%287w-5%29=0 ... difference of squares
7w%2B5=0 or 7w-5=0
w=-5%2F7 or w=5%2F7