Solve for g (complex solution)
\left\{\begin{matrix}g=\frac{A}{x}\text{, }&x\neq 0\\g\in \mathrm{C}\text{, }&A=0\text{ and }x=0\end{matrix}\right.
Solve for g
\left\{\begin{matrix}g=\frac{A}{x}\text{, }&x\neq 0\\g\in \mathrm{R}\text{, }&A=0\text{ and }x=0\end{matrix}\right.
Solve for A
A=gx
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gx=A
Swap sides so that all variable terms are on the left hand side.
xg=A
The equation is in standard form.
\frac{xg}{x}=\frac{A}{x}
Divide both sides by x.
g=\frac{A}{x}
Dividing by x undoes the multiplication by x.
gx=A
Swap sides so that all variable terms are on the left hand side.
xg=A
The equation is in standard form.
\frac{xg}{x}=\frac{A}{x}
Divide both sides by x.
g=\frac{A}{x}
Dividing by x undoes the multiplication by x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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
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