227k views
1 vote
Please help me I'm struggling very muchSolve using a GCFx^3+14x^2+48x=0

1 Answer

1 vote

The given expression is,


x^3+14x^2+48x=0

Reordering the terms, we get,


48x+14x^2+x^3=0

Here, the GCF is x, therefore, we have,


\begin{gathered} x(48+14x+x^2)=0 \\ x((x+6)(x+8))=0 \end{gathered}

Equating each term to zero, we get,


\begin{gathered} x=0 \\ x=-6 \\ x=-8 \end{gathered}

Thus the solution is x = 0, -6, -8

User WebStylePress
by
6.1k points