\(y=12x^{3}-5x\) -----> equation A
\(y=2x^{2} +x+6\) ------> equation B
we have
\(12x^{3}-5x=2x^{2} +x+6\)
This equation can be rewritten in the following system of equations
\(y=12x^{3}-5x\) -----> equation A
\(y=2x^{2} +x+6\) ------> equation B
we know that
The solution of the system of equations is the intersection point both graphs
using a graphing tool
see the attached figure
The solution is
\(x=1.07\)
