Solve for H
\left\{\begin{matrix}H=\frac{W}{4Kz}\text{, }&z\neq 0\text{ and }K\neq 0\\H\in \mathrm{R}\text{, }&\left(K=0\text{ or }z=0\right)\text{ and }W=0\end{matrix}\right.
Solve for K
\left\{\begin{matrix}K=\frac{W}{4Hz}\text{, }&z\neq 0\text{ and }H\neq 0\\K\in \mathrm{R}\text{, }&\left(H=0\text{ or }z=0\right)\text{ and }W=0\end{matrix}\right.
Share
Copied to clipboard
4KHz=W
Swap sides so that all variable terms are on the left hand side.
4KzH=W
The equation is in standard form.
\frac{4KzH}{4Kz}=\frac{W}{4Kz}
Divide both sides by 4Kz.
H=\frac{W}{4Kz}
Dividing by 4Kz undoes the multiplication by 4Kz.
4KHz=W
Swap sides so that all variable terms are on the left hand side.
4HzK=W
The equation is in standard form.
\frac{4HzK}{4Hz}=\frac{W}{4Hz}
Divide both sides by 4Hz.
K=\frac{W}{4Hz}
Dividing by 4Hz undoes the multiplication by 4Hz.
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}