SOLUTION: Hi, I am currently trying to solve this equation. (x+4)^2=3/25 The first thing I tried was this (x+4)(x+4)=3/25 x^2+8x+16=3/25 25*x^2+8x+16=3/25*25 25x^2+120x+340=3 25x^2

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Question 692113: Hi, I am currently trying to solve this equation.
(x+4)^2=3/25
The first thing I tried was this
(x+4)(x+4)=3/25
x^2+8x+16=3/25
25*x^2+8x+16=3/25*25
25x^2+120x+340=3
25x^2+120x+340-3=0
25x^2+120x+337=0
But now I can't factor that so I seem to have made a mistake somewhere. Can anyone help? Thx in advance :)

and this is where I am sure I've made some huge mistake. Can anyone help me? Thx so much.

Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
Take the square root of both sides

...
= +/-
x+4 = +/-

...
Two Solutions
x =
x =
...
Alternatively,
(x+4)(x+4)=
==> multiply by 25
25()


Apply the quadratic formula
x =
x =
x =
x =
x =
...
In short, you erred within the multiplication of the equation by 25
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