Solve for b
\left\{\begin{matrix}b=\frac{v}{hl}\text{, }&l\neq 0\text{ and }h\neq 0\\b\in \mathrm{R}\text{, }&\left(l=0\text{ or }h=0\right)\text{ and }v=0\end{matrix}\right.
Solve for h
\left\{\begin{matrix}h=\frac{v}{bl}\text{, }&l\neq 0\text{ and }b\neq 0\\h\in \mathrm{R}\text{, }&\left(l=0\text{ or }b=0\right)\text{ and }v=0\end{matrix}\right.
Share
Copied to clipboard
hbl=v
Swap sides so that all variable terms are on the left hand side.
hlb=v
The equation is in standard form.
\frac{hlb}{hl}=\frac{v}{hl}
Divide both sides by hl.
b=\frac{v}{hl}
Dividing by hl undoes the multiplication by hl.
hbl=v
Swap sides so that all variable terms are on the left hand side.
blh=v
The equation is in standard form.
\frac{blh}{bl}=\frac{v}{bl}
Divide both sides by bl.
h=\frac{v}{bl}
Dividing by bl undoes the multiplication by bl.
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}