Answer:
x = 1/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
- [tex](x+1)^2+(x-1)^2-2x(x+2)=0[/tex]
- [tex]x^2 + 2x + 1 + x^2 - 2x + 1 -2x^2 -4x = 0[/tex]
- [tex](x^2 + x^2-2x^2) + (2x-2x-4x)+(1+1)=0[/tex]
- [tex]-4x + 2 = 0[/tex]
Step 2: Subtract 2 from both sides.
- [tex]-4x + 2 - 2 = 0 - 2[/tex]
- [tex]-4x = -2[/tex]
Step 3: Divide both sides by -4.
- [tex]\frac{-4x}{-4} = \frac{-2}{-4}[/tex]
- [tex]x = \frac{1}{2}[/tex]