Question

What is x if `-4(x+2)^2+3x=-5`?

Answer 1

`x = -9/4` or `x=-1`

Explanation:

First expand the expression and move the `-5` to the left hand side, to get it into standard form
`-4(x^2+4x+4) +3x +5 = 0`
`-4x^2 -16x -16 +3x +5 = 0`
`-4x^2 -13x -9 = 0`
`-(4x^2 +13x+9)=0`
`4` and `9` add to give `13`, so the factors we need are `4&1` and `9&1`
`-(4x +9)(x+1) = 0`
`:. x = -9/4` or `x=-1`