How do you solve # (5x + 5)^2 = 100 #?

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Answer 1 · 2016-08-13T23:14:28

#x = 8/5, or x = -12/5#

We do not have to multiply out the brackets first in order to solve this equation. Find the square root(s) of both sides

#(5x +5)^2 = 100#

#5x +2 = +-10#

There are two possibilities:

#5x +2 = +10 " or "5x +2 = -10#

#5x = 8 " " 5x = -12#

#x = 8/5" " x = -12/5#