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x^2+1=2x+1

Hi,
   I am having trouble Finding out what the solution is for x. Can you please show me what the solution  is to x and how you got it please?

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Karin S. | Reasonable and Reliable Math Tutor Reasonable and Reliable Math Tutor
5.0 5.0 (663 lesson ratings) (663)
2
X^2+1=2x+1  Bring everything to the left side of equation. 
       -1.      -1
x^2.    = 2x
      -2x.  -2x
x^2-2x=0
Factor out x and set each term to 0
x(x-2)=0
x=0 and x-2=0 
                +2. +2
              X=2
 
two solutions x=0,2
 
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Clint;
x2+1=2x+1
Let's move everything to one side by subtracting (2x+1) from both sides...
(x2+1)-(2x+1)=(2x+1)-(2x+1)
(x2+1)-(2x+1)=0
Let's eliminate 1-1...
x2-2x=0
Let's factor...
(x-2)(x+0)=0
Let's FOIL...
FIRST...(x)(x)=x2
OUTER...(x)(0)=0
INNER...(-2)(x)=-2x
LAST...(-2)(0)=0
 
x-2=0
and
x+0=0
x=0 and 2