Respuesta :

qabtt

You may notice that all of the terms have a common factor: [tex]x[/tex]. So, let's take the [tex]x[/tex] out of all the terms. This gives us:

[tex]x(x^2 + 2x - 24) = 0[/tex]


Using the Zero Product Property, we can say that both [tex]x = 0[/tex] and [tex]x^2 + 2x - 24 = 0[/tex].

Let's solve both. [tex]x = 0[/tex] is obvious, but we still need to solve our other term:

[tex]x^2 + 2x - 24 = 0[/tex]

  • Set up

[tex](x + 6)(x - 4) = 0[/tex]

  • Factor

[tex]x = -6, 4[/tex]

  • Apply the Zero Product Property

Our answer is x = -6, 0, 4.