SOLUTION: How do I solve for x and end up with the correct set? Please give me detailed step by steps. 5(x-2)^2=125 Thanks so much:)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: How do I solve for x and end up with the correct set? Please give me detailed step by steps. 5(x-2)^2=125 Thanks so much:)      Log On


   

Question 892814: How do I solve for x and end up with the correct set? Please give me detailed step by steps.
5(x-2)^2=125


Thanks so much:)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5(x-2)^2=125
-------
Divide both sides by 5 to get::
(x-2)^2 = 25
-------
Take the square root of both sides to get:
x-2 = 5 OR x-2 = -5
-------
Solve for "x":
x = 7 OR x = -3
=============================
Cheers,
Stan H.
==============