Simplify \(8(6x+2)\times 5(x-2)\times 2(3x-4)\) to \(80(6x+2)(x-2)(3x-4)\).
\[80(6x+2)(x-2)(3x-4)=7(11-2x)\]
Expand.
\[1440{x}^{3}-1920{x}^{2}-2880{x}^{2}+3840x+480{x}^{2}-640x-960x+1280=77-14x\]
Simplify \(1440{x}^{3}-1920{x}^{2}-2880{x}^{2}+3840x+480{x}^{2}-640x-960x+1280\) to \(1440{x}^{3}-4320{x}^{2}+2240x+1280\).
\[1440{x}^{3}-4320{x}^{2}+2240x+1280=77-14x\]
Move all terms to one side.
\[1440{x}^{3}-4320{x}^{2}+2240x+1280-77+14x=0\]
Simplify \(1440{x}^{3}-4320{x}^{2}+2240x+1280-77+14x\) to \(1440{x}^{3}-4320{x}^{2}+2254x+1203\).
\[1440{x}^{3}-4320{x}^{2}+2254x+1203=0\]
No root was found algebraically. However, the following root(s) were found by numerical methods.
\[x=-0.318563,1.297668,2.020896\]
x=-0.31856307983398,1.2976676940918,2.0208961486816
