Solve 56dm=5m6cm

$$56 dm = 5 m 6 cm$$

Solve for c

$$\left\{\begin{matrix}c=\frac{56d}{5m_{6}}\text{, }&m_{6}\neq 0\\c\in \mathrm{R}\text{, }&m=0\text{ or }\left(d=0\text{ and }m_{6}=0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$5m_{6}cm=56dm$$

The equation is in standard form.

$$5mm_{6}c=56dm$$

Divide both sides by 5m_{6}m.

$$\frac{5mm_{6}c}{5mm_{6}}=\frac{56dm}{5mm_{6}}$$

Dividing by 5m_{6}m undoes the multiplication by 5m_{6}m.

$$c=\frac{56dm}{5mm_{6}}$$

Divide 56dm by 5m_{6}m.

$$c=\frac{56d}{5m_{6}}$$

Solve for d

$$\left\{\begin{matrix}\\d=\frac{5cm_{6}}{56}\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$56md=5cmm_{6}$$

Divide both sides by 56m.

$$\frac{56md}{56m}=\frac{5cmm_{6}}{56m}$$

Dividing by 56m undoes the multiplication by 56m.

$$d=\frac{5cmm_{6}}{56m}$$

Divide 5m_{6}cm by 56m.

$$d=\frac{5cm_{6}}{56}$$