SOLUTION: How do you solve (x+b)(x-b)=x(x-5) for x? I would like to see every step and it would be nice if you could explain why you did each step. Thank you very much.

Algebra ->  Equations -> SOLUTION: How do you solve (x+b)(x-b)=x(x-5) for x? I would like to see every step and it would be nice if you could explain why you did each step. Thank you very much.       Log On


   



Question 43572: How do you solve (x+b)(x-b)=x(x-5) for x? I would like to see every step and it would be nice if you could explain why you did each step. Thank you very much.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve (x+b)(x-b)=x(x-5) for x
Use the distributive law to get;
(x+b)x - (x+b)b = x^2-5x
Use the distributive law again to get:
x^2+bx-bx-b^2=x^2-5x
Simplify the left side to get:
x^2-b^2=x^2-5x
Subtract x^2 from both sides to get:
-b^2=-5x
Divide both sides by -5 to get:
x=b^2/5
Cheers,
Stan H.