Question

How do you solve `6x=-x²-8`?

Answer 1

`x=-2` or `x=-4`

Explanation:

`6x=-x^2-8`

Add `x^2+8` to both sides.

`x^2+6x+8=0`

Factorise.

`x^2+4x+2x+8=0`

`x(x+4)+2(x+4)=0`

`(x+2)(x+4)=0`

`x+2=0` or `x+4=0`

`x=-2` or `x=-4`