Solve for N (complex solution)
\left\{\begin{matrix}N=\frac{w\rho }{ev}\text{, }&v\neq 0\text{ and }\rho \neq 0\\N\in \mathrm{C}\text{, }&w=0\text{ and }v=0\text{ and }\rho \neq 0\end{matrix}\right.
Solve for v (complex solution)
\left\{\begin{matrix}v=\frac{w\rho }{eN}\text{, }&N\neq 0\text{ and }\rho \neq 0\\v\in \mathrm{C}\text{, }&w=0\text{ and }N=0\text{ and }\rho \neq 0\end{matrix}\right.
Solve for N
\left\{\begin{matrix}N=\frac{w\rho }{ev}\text{, }&v\neq 0\text{ and }\rho \neq 0\\N\in \mathrm{R}\text{, }&w=0\text{ and }v=0\text{ and }\rho \neq 0\end{matrix}\right.
Solve for v
\left\{\begin{matrix}v=\frac{w\rho }{eN}\text{, }&N\neq 0\text{ and }\rho \neq 0\\v\in \mathrm{R}\text{, }&w=0\text{ and }N=0\text{ and }\rho \neq 0\end{matrix}\right.
Share
Copied to clipboard
w\rho =Nev
Multiply both sides of the equation by \rho .
Nev=w\rho
Swap sides so that all variable terms are on the left hand side.
evN=w\rho
The equation is in standard form.
\frac{evN}{ev}=\frac{w\rho }{ev}
Divide both sides by ev.
N=\frac{w\rho }{ev}
Dividing by ev undoes the multiplication by ev.
w\rho =Nev
Multiply both sides of the equation by \rho .
Nev=w\rho
Swap sides so that all variable terms are on the left hand side.
eNv=w\rho
The equation is in standard form.
\frac{eNv}{eN}=\frac{w\rho }{eN}
Divide both sides by Ne.
v=\frac{w\rho }{eN}
Dividing by Ne undoes the multiplication by Ne.
w\rho =Nev
Multiply both sides of the equation by \rho .
Nev=w\rho
Swap sides so that all variable terms are on the left hand side.
evN=w\rho
The equation is in standard form.
\frac{evN}{ev}=\frac{w\rho }{ev}
Divide both sides by ev.
N=\frac{w\rho }{ev}
Dividing by ev undoes the multiplication by ev.
w\rho =Nev
Multiply both sides of the equation by \rho .
Nev=w\rho
Swap sides so that all variable terms are on the left hand side.
eNv=w\rho
The equation is in standard form.
\frac{eNv}{eN}=\frac{w\rho }{eN}
Divide both sides by Ne.
v=\frac{w\rho }{eN}
Dividing by Ne undoes the multiplication by Ne.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}