Question

x(x+2)=x(x+3)

Answer 1

\(x^2+2x-x^2-3x=0\)

\(-x=0\)

\(x=0\)

Answer 2

\(x\left(x+2\right)=x\left(x+3\right)\\ \Leftrightarrow x\left(x+3\right)-x\left(x+2\right)=0\\ \Leftrightarrow x\left[\left(x+3\right)-\left(x+2\right)\right]=0\\ \Leftrightarrow x\left(x+3-x-2\right)=0\\ \Leftrightarrow x.1=0\\ \Leftrightarrow x=0\)

Vậy pt có tập nghiệm `S={0}`

Answer 3

x(x + 2) = x(x + 3)

<=> x² + 2x = x² + 3x 

<=> x² + 2x - x² - 3x = 0

<=> -1x = 0

<=> x = 0