# 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 ->  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

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Equations Solvers Lessons Answers archive Quiz In Depth

 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(57312)   (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.