Question

Find all real values of x such that f (x) = 0.

`f(x) = (-6x - 9)/(2)`

Answer 1

Plug in f(x) = 0 to solve


`f(x) = (-6x-9)/(2)`


`0 = (-6x - 9)/2`


`0 = -6x - 9`


`9 = -6x`


`x = 9/-6 = -3/2`


`x = -3/2, f(x) = 0`

Answer 2

Plug in f(x) = 0

0 = (-6x - 9)/2

Multiply 2 on both sides

0 = -6x - 9

Add 9 on both sides

9 = -6x

Divide -6 on both sides

x = 9/-6 = -3/2

When x = -3/2, f(x) = 0