
set x equal to 1  

multiply both sides by x  

subtract 1 from both sides  

separate left side into factors  

divide both sides by (x  1)  

substitute 1 for x  


the square of 1 is 1 

divide both sides by 1 

identity operation; for all real (or complex) x, x = x/1 

take the square root of both sides (i=sqrt(1)) 

divide both sides by two 

multiply both sides by i 

substitute 1 for i^{2} and 1 for i/i 

add 1 1/2 (3/2) to both sides 

x^{2} = x+x+x+...+x (x times)  definition of x^{2}; x not equal to zero 
2x = 1+1+1+...+1 (x times)  take derivative of both sides; derivative of x^{n} = nx^{n1} 
2x = x  x = 1+1+1+...+1 (x times) 
2 = 1  divide both sides by x (x not equal to zero) 