25 m / s = \text { dam / } h
Solve for a
\left\{\begin{matrix}a=\frac{25h}{ds}\text{, }&s\neq 0\text{ and }d\neq 0\text{ and }h\neq 0\\a\in \mathrm{R}\text{, }&m=0\text{ and }s\neq 0\text{ and }h\neq 0\end{matrix}\right.
Solve for d
\left\{\begin{matrix}d=\frac{25h}{as}\text{, }&s\neq 0\text{ and }a\neq 0\text{ and }h\neq 0\\d\in \mathrm{R}\text{, }&m=0\text{ and }s\neq 0\text{ and }h\neq 0\end{matrix}\right.
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h\times 25m=sdam
Multiply both sides of the equation by hs, the least common multiple of s,h.
sdam=h\times 25m
Swap sides so that all variable terms are on the left hand side.
dmsa=25hm
The equation is in standard form.
\frac{dmsa}{dms}=\frac{25hm}{dms}
Divide both sides by sdm.
a=\frac{25hm}{dms}
Dividing by sdm undoes the multiplication by sdm.
a=\frac{25h}{ds}
Divide 25hm by sdm.
h\times 25m=sdam
Multiply both sides of the equation by hs, the least common multiple of s,h.
sdam=h\times 25m
Swap sides so that all variable terms are on the left hand side.
amsd=25hm
The equation is in standard form.
\frac{amsd}{ams}=\frac{25hm}{ams}
Divide both sides by sam.
d=\frac{25hm}{ams}
Dividing by sam undoes the multiplication by sam.
d=\frac{25h}{as}
Divide 25hm by sam.
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