Question

Find the number of all real solution to the quadratic equation $x^2+2x=-1$

Answer 1

Finding the roots of the given equation as shown below:

$x^2+2x=-1$ or $x^2+2x+1=0$

$x^2+x+x+1=0$

$x(x+1)+1(x+1)=0$

$x+1=0$ and $x+1=0$

$x=-1$