Question

How do you solve `x^2+2x=3`?

Answer 1

`x=-3` or `x=1`

Explanation:

`x^2+2x=3`

Implies
`color(white)("XXX")x^2+2x-3=0`

which can be factored as
`color(white)("XXX")(x+3)(x-1)=0`

which, in turn, implies
either
`color(white)("XXX")x+3=0 color(white)("XX")rarrcolor(white)("XX")x=-3`
or
`color(white)("XXX")x-1=0 color(white)("XX")rarrcolor(white)("XX")x=1`

(As always you should substitute these values into the original equation to verify the result).