Solve for n (complex solution)
\left\{\begin{matrix}n=\frac{y}{sux}\text{, }&x\neq 0\text{ and }u\neq 0\text{ and }s\neq 0\\n\in \mathrm{C}\text{, }&\left(x=0\text{ or }u=0\text{ or }s=0\right)\text{ and }y=0\end{matrix}\right.
Solve for s (complex solution)
\left\{\begin{matrix}s=\frac{y}{nux}\text{, }&x\neq 0\text{ and }n\neq 0\text{ and }u\neq 0\\s\in \mathrm{C}\text{, }&\left(x=0\text{ or }n=0\text{ or }u=0\right)\text{ and }y=0\end{matrix}\right.
Solve for n
\left\{\begin{matrix}n=\frac{y}{sux}\text{, }&x\neq 0\text{ and }u\neq 0\text{ and }s\neq 0\\n\in \mathrm{R}\text{, }&\left(x=0\text{ or }u=0\text{ or }s=0\right)\text{ and }y=0\end{matrix}\right.
Solve for s
\left\{\begin{matrix}s=\frac{y}{nux}\text{, }&x\neq 0\text{ and }n\neq 0\text{ and }u\neq 0\\s\in \mathrm{R}\text{, }&\left(x=0\text{ or }n=0\text{ or }u=0\right)\text{ and }y=0\end{matrix}\right.
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sunx=y
Swap sides so that all variable terms are on the left hand side.
suxn=y
The equation is in standard form.
\frac{suxn}{sux}=\frac{y}{sux}
Divide both sides by sux.
n=\frac{y}{sux}
Dividing by sux undoes the multiplication by sux.
sunx=y
Swap sides so that all variable terms are on the left hand side.
nuxs=y
The equation is in standard form.
\frac{nuxs}{nux}=\frac{y}{nux}
Divide both sides by unx.
s=\frac{y}{nux}
Dividing by unx undoes the multiplication by unx.
sunx=y
Swap sides so that all variable terms are on the left hand side.
suxn=y
The equation is in standard form.
\frac{suxn}{sux}=\frac{y}{sux}
Divide both sides by sux.
n=\frac{y}{sux}
Dividing by sux undoes the multiplication by sux.
sunx=y
Swap sides so that all variable terms are on the left hand side.
nuxs=y
The equation is in standard form.
\frac{nuxs}{nux}=\frac{y}{nux}
Divide both sides by unx.
s=\frac{y}{nux}
Dividing by unx undoes the multiplication by unx.
Examples
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{ 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}