Regroup terms.
\[Ifx+\frac{1}{x}=2ethn{x}^{2024}+1\times {x}^{2014}\]
Simplify \(1\times {x}^{2014}\) to \({x}^{2014}\).
\[Ifx+\frac{1}{x}=2ethn{x}^{2024}+{x}^{2014}\]
Factor out the common term \({x}^{2014}\).
\[Ifx+\frac{1}{x}={x}^{2014}(2ethn{x}^{10}+1)\]
Divide both sides by \({x}^{2014}\).
\[\frac{Ifx+\frac{1}{x}}{{x}^{2014}}=2ethn{x}^{10}+1\]
Subtract \(1\) from both sides.
\[\frac{Ifx+\frac{1}{x}}{{x}^{2014}}-1=2ethn{x}^{10}\]
Divide both sides by \(2\).
\[\frac{\frac{Ifx+\frac{1}{x}}{{x}^{2014}}-1}{2}=ethn{x}^{10}\]
Simplify \(\frac{\frac{Ifx+\frac{1}{x}}{{x}^{2014}}-1}{2}\) to \(\frac{\frac{Ifx+\frac{1}{x}}{{x}^{2014}}}{2}-\frac{1}{2}\).
\[\frac{\frac{Ifx+\frac{1}{x}}{{x}^{2014}}}{2}-\frac{1}{2}=ethn{x}^{10}\]
Simplify \(\frac{\frac{Ifx+\frac{1}{x}}{{x}^{2014}}}{2}\) to \(\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}\).
\[\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}=ethn{x}^{10}\]
Divide both sides by \(e\).
\[\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{e}=thn{x}^{10}\]
Divide both sides by \(t\).
\[\frac{\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{e}}{t}=hn{x}^{10}\]
Simplify \(\frac{\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{e}}{t}\) to \(\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{et}\).
\[\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{et}=hn{x}^{10}\]
Divide both sides by \(n\).
\[\frac{\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{et}}{n}=h{x}^{10}\]
Simplify \(\frac{\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{et}}{n}\) to \(\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{etn}\).
\[\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{etn}=h{x}^{10}\]
Divide both sides by \({x}^{10}\).
\[\frac{\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{etn}}{{x}^{10}}=h\]
Simplify \(\frac{\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{etn}}{{x}^{10}}\) to \(\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{etn{x}^{10}}\).
\[\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{etn{x}^{10}}=h\]
Switch sides.
\[h=\frac{\frac{Ifx+\frac{1}{x}}{2{x}^{2014}}-\frac{1}{2}}{etn{x}^{10}}\]
h=((If*x+1/x)/(2*x^2014)-1/2)/(e*t*n*x^10)
