Solve for k (complex solution)
\left\{\begin{matrix}k=\frac{z}{x+4}\text{, }&x\neq -4\\k\in \mathrm{C}\text{, }&z=0\text{ and }x=-4\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{z}{k}-4\text{, }&k\neq 0\\x\in \mathrm{C}\text{, }&z=0\text{ and }k=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k=\frac{z}{x+4}\text{, }&x\neq -4\\k\in \mathrm{R}\text{, }&z=0\text{ and }x=-4\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{z}{k}-4\text{, }&k\neq 0\\x\in \mathrm{R}\text{, }&z=0\text{ and }k=0\end{matrix}\right.
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z=4k+xk
Use the distributive property to multiply 4+x by k.
4k+xk=z
Swap sides so that all variable terms are on the left hand side.
\left(4+x\right)k=z
Combine all terms containing k.
\left(x+4\right)k=z
The equation is in standard form.
\frac{\left(x+4\right)k}{x+4}=\frac{z}{x+4}
Divide both sides by 4+x.
k=\frac{z}{x+4}
Dividing by 4+x undoes the multiplication by 4+x.
z=4k+xk
Use the distributive property to multiply 4+x by k.
4k+xk=z
Swap sides so that all variable terms are on the left hand side.
xk=z-4k
Subtract 4k from both sides.
kx=z-4k
The equation is in standard form.
\frac{kx}{k}=\frac{z-4k}{k}
Divide both sides by k.
x=\frac{z-4k}{k}
Dividing by k undoes the multiplication by k.
x=\frac{z}{k}-4
Divide z-4k by k.
z=4k+xk
Use the distributive property to multiply 4+x by k.
4k+xk=z
Swap sides so that all variable terms are on the left hand side.
\left(4+x\right)k=z
Combine all terms containing k.
\left(x+4\right)k=z
The equation is in standard form.
\frac{\left(x+4\right)k}{x+4}=\frac{z}{x+4}
Divide both sides by 4+x.
k=\frac{z}{x+4}
Dividing by 4+x undoes the multiplication by 4+x.
z=4k+xk
Use the distributive property to multiply 4+x by k.
4k+xk=z
Swap sides so that all variable terms are on the left hand side.
xk=z-4k
Subtract 4k from both sides.
kx=z-4k
The equation is in standard form.
\frac{kx}{k}=\frac{z-4k}{k}
Divide both sides by k.
x=\frac{z-4k}{k}
Dividing by k undoes the multiplication by k.
x=\frac{z}{k}-4
Divide z-4k by k.
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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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