Answer:
Step-by-step explanation:
[tex]f(x) = (x+2)^{2} - 16[/tex]
First, let's expand the equation out:
[tex]f(x) = x^{2} + 4x + 4 - 16[/tex]
[tex]f(x) = x^{2} + 4x - 12[/tex]
Next, we can factor the quadratic equation:
[tex]f(x) = (x+6)(x-2)[/tex]
Finally, to find the solutions, so the equation equal to [tex]0[/tex]:
[tex]0 = (x+6)(x-2)[/tex]
From these, we know that the solutions are [tex]x = -6, 2[/tex]
