Solve 360Km/h=xm/s

$$360 Km / h = x m / s$$

Solve for K (complex solution)

$$\left\{\begin{matrix}K=\frac{hx}{360s}\text{, }&h\neq 0\text{ and }s\neq 0\\K\in \mathrm{C}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hs, the least common multiple of h,s.

$$s\times 360Km=hxm$$

Reorder the terms.

$$360Kms=hmx$$

The equation is in standard form.

$$360msK=hmx$$

Divide both sides by 360ms.

$$\frac{360msK}{360ms}=\frac{hmx}{360ms}$$

Dividing by 360ms undoes the multiplication by 360ms.

$$K=\frac{hmx}{360ms}$$

Divide hmx by 360ms.

$$K=\frac{hx}{360s}$$

Solve for K

$$\left\{\begin{matrix}K=\frac{hx}{360s}\text{, }&h\neq 0\text{ and }s\neq 0\\K\in \mathrm{R}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hs, the least common multiple of h,s.

$$s\times 360Km=hxm$$

Reorder the terms.

$$360Kms=hmx$$

The equation is in standard form.

$$360msK=hmx$$

Divide both sides by 360ms.

$$\frac{360msK}{360ms}=\frac{hmx}{360ms}$$

Dividing by 360ms undoes the multiplication by 360ms.

$$K=\frac{hmx}{360ms}$$

Divide hmx by 360ms.

$$K=\frac{hx}{360s}$$

Solve for h

$$\left\{\begin{matrix}h=\frac{360Ks}{x}\text{, }&s\neq 0\text{ and }K\neq 0\text{ and }x\neq 0\\h\neq 0\text{, }&\left(m=0\text{ and }s\neq 0\right)\text{ or }\left(x=0\text{ and }K=0\text{ and }s\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable h cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by hs, the least common multiple of h,s.

$$s\times 360Km=hxm$$

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

$$hxm=s\times 360Km$$

The equation is in standard form.

$$mxh=360Kms$$

Divide both sides by xm.

$$\frac{mxh}{mx}=\frac{360Kms}{mx}$$

Dividing by xm undoes the multiplication by xm.

$$h=\frac{360Kms}{mx}$$

Divide 360sKm by xm.

$$h=\frac{360Ks}{x}$$

Variable h cannot be equal to 0.

$$h=\frac{360Ks}{x}\text{, }h\neq 0$$