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?

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?

Tutors, please sign in to answer this question.

Madison, NJ

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

Middletown, CT

Hi Clint;

x^{2}+1=2x+1

Let's move everything to one side by subtracting (2x+1) from both sides...

(x^{2}+1)-(2x+1)=(2x+1)-(2x+1)

(x^{2}+1)-(2x+1)=0

Let's eliminate 1-1...

x^{2}-2x=0

Let's factor...

(x-2)(x+0)=0

Let's FOIL...

FIRST...(x)(x)=x^{2}

OUTER...(x)(0)=0

INNER...(-2)(x)=-2x

LAST...(-2)(0)=0

x-2=0

and

x+0=0

x=0 and 2

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