W^2-0.56W^2=28

Question

I need W^2-0.56W^2=28 solved for w

Answer 1

Are you sure the problem is stated correctly with two terms containing w²?  Here is the solution to the problem as currently stated:

 

w² - 0.56w² = 28

 

w²(1 - 0.56) = 28

 

w²(0.44) = 28

 

w² = 28/0.44 ≅ 63.636

 

w = ±√63.636 = ± 7.977