Solve for N
\left\{\begin{matrix}N=\frac{125000000000000\sqrt{2}x_{2}}{3447199994035401k}\text{, }&k\neq 0\\N\in \mathrm{R}\text{, }&x_{2}=0\text{ and }k=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k=\frac{125000000000000\sqrt{2}x_{2}}{3447199994035401N}\text{, }&N\neq 0\\k\in \mathrm{R}\text{, }&x_{2}=0\text{ and }N=0\end{matrix}\right.
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x_{2} = 18 \sqrt{2} k N \cdot 0.766044443118978
Evaluate trigonometric functions in the problem
x_{2}=13.788799976141604\sqrt{2}kN
Multiply 0.766044443118978 and 18 to get 13.788799976141604.
13.788799976141604\sqrt{2}kN=x_{2}
Swap sides so that all variable terms are on the left hand side.
\frac{3447199994035401\sqrt{2}k}{250000000000000}N=x_{2}
The equation is in standard form.
\frac{250000000000000\times \frac{3447199994035401\sqrt{2}k}{250000000000000}N}{3447199994035401\sqrt{2}k}=\frac{250000000000000x_{2}}{3447199994035401\sqrt{2}k}
Divide both sides by 13.788799976141604\sqrt{2}k.
N=\frac{250000000000000x_{2}}{3447199994035401\sqrt{2}k}
Dividing by 13.788799976141604\sqrt{2}k undoes the multiplication by 13.788799976141604\sqrt{2}k.
N=\frac{125000000000000\sqrt{2}x_{2}}{3447199994035401k}
Divide x_{2} by 13.788799976141604\sqrt{2}k.
x_{2} = 18 \sqrt{2} k N \cdot 0.766044443118978
Evaluate trigonometric functions in the problem
x_{2}=13.788799976141604\sqrt{2}kN
Multiply 0.766044443118978 and 18 to get 13.788799976141604.
13.788799976141604\sqrt{2}kN=x_{2}
Swap sides so that all variable terms are on the left hand side.
\frac{3447199994035401\sqrt{2}N}{250000000000000}k=x_{2}
The equation is in standard form.
\frac{250000000000000\times \frac{3447199994035401\sqrt{2}N}{250000000000000}k}{3447199994035401\sqrt{2}N}=\frac{250000000000000x_{2}}{3447199994035401\sqrt{2}N}
Divide both sides by 13.788799976141604\sqrt{2}N.
k=\frac{250000000000000x_{2}}{3447199994035401\sqrt{2}N}
Dividing by 13.788799976141604\sqrt{2}N undoes the multiplication by 13.788799976141604\sqrt{2}N.
k=\frac{125000000000000\sqrt{2}x_{2}}{3447199994035401N}
Divide x_{2} by 13.788799976141604\sqrt{2}N.
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