Question

How do you solve `x^2+14x=-49`?

Answer 1

`x=-7`

Explanation:

`color(white)("XXX")x^2+14x=-49`
is equivalent to
`color(white)("XXX")x^2+14x+49=0`
which can be factored as
`color(white)("XXX")(x+7)(x+7)=0`
which can only be true if
`color(white)("XXX")(x+7)=0`
`color(white)("XXX")rarr x=-7`