Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{(3{x}^{Bo+1})}^{2}=9{x}^{6}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{3}^{2}{({x}^{Bo+1})}^{2}=9{x}^{6}\]
Simplify \({3}^{2}\) to \(9\).
\[9{({x}^{Bo+1})}^{2}=9{x}^{6}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[9{x}^{(Bo+1)\times 2}=9{x}^{6}\]
Regroup terms.
\[9{x}^{2(Bo+1)}=9{x}^{6}\]
Cancel \(9\) on both sides.
\[{x}^{2(Bo+1)}={x}^{6}\]
Move all terms to one side.
\[{x}^{2(Bo+1)}-{x}^{6}=0\]
No root was found algebraically. However, the following root(s) were found by numerical methods.
\[x=0,\pm 1\]
x=-1,0,1
