Solve for L (complex solution)
\left\{\begin{matrix}\\L=0\text{, }&\text{unconditionally}\\L\in \mathrm{C}\text{, }&x=w\end{matrix}\right.
Solve for w (complex solution)
\left\{\begin{matrix}\\w=x\text{, }&\text{unconditionally}\\w\in \mathrm{C}\text{, }&L=0\end{matrix}\right.
Solve for L
\left\{\begin{matrix}\\L=0\text{, }&\text{unconditionally}\\L\in \mathrm{R}\text{, }&x=w\end{matrix}\right.
Solve for w
\left\{\begin{matrix}\\w=x\text{, }&\text{unconditionally}\\w\in \mathrm{R}\text{, }&L=0\end{matrix}\right.
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xL-Lw=0
Subtract Lw from both sides.
\left(x-w\right)L=0
Combine all terms containing L.
L=0
Divide 0 by x-w.
Lw=xL
Swap sides so that all variable terms are on the left hand side.
Lw=Lx
The equation is in standard form.
\frac{Lw}{L}=\frac{Lx}{L}
Divide both sides by L.
w=\frac{Lx}{L}
Dividing by L undoes the multiplication by L.
w=x
Divide xL by L.
xL-Lw=0
Subtract Lw from both sides.
\left(x-w\right)L=0
Combine all terms containing L.
L=0
Divide 0 by x-w.
Lw=xL
Swap sides so that all variable terms are on the left hand side.
Lw=Lx
The equation is in standard form.
\frac{Lw}{L}=\frac{Lx}{L}
Divide both sides by L.
w=\frac{Lx}{L}
Dividing by L undoes the multiplication by L.
w=x
Divide xL by L.
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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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