Question

How do you solve `-3(x+2)^2=-18`?

Answer 1

`color(green)(x=-2+-sqrt(6))`

Explanation:

Given
`color(white)("XXX")-3(x+2)^2=-18`

Dividing both sides by `(-3)`
`color(white)("XXX")(x+2)^2=6`

Taking the roots:
`color(white)("XXX")x+2=+-sqrt(6)`

Subtracting `2` from both sides
`color(white)("XXX")x=-2+-sqrt(6)`