SOLUTION: x^2+(x+2)(x+2)=100

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Question 815237: x^2+(x+2)(x+2)=100
Found 2 solutions by brysca, MathTherapy:
Answer by brysca(112) About Me  (Show Source):
You can put this solution on YOUR website!
This equation can be simplified into x^2+(x+2)(x+2)=100.
So, when (x+2)(x+2) is simplified through foil, this becomes x^2+4x+4
The new equation is x^2+x^2+4x+4=100
Combine like terms
2x^2+4x+4=100
Move 100 to the left side in order to make it a solvable quadratic equation.
2x^2+4x-96=0
This simplifies to
(2x-16)(x-6)=0
Now, to find both values of x, the factors should be set to zero.
2x-16=0
2x=16
x=8
x-6=0
x=6
With the following values, the final answer is x= 8 or 6
I did not show work while factoring, but I used the Berry Method. Information about the Berry Method can be found here: http://youtu.be/R3PFOPZJP5o?t=1m39s.
-Bryan

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

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

x = highlight_green%28-+8%29 or highlight_green%286%29
You can do the check!!
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