Solve EP=0.5kg9.8m/s^20.5m

$$EP = \frac{ 0.5kg9.8m }{ { s }^{ 2 } } 0.5m$$

Solve for E

$$\left\{\begin{matrix}E=\frac{\left(\frac{m}{s}\right)^{2}g_{9}k}{5P}\text{, }&s\neq 0\text{ and }P\neq 0\\E\in \mathrm{R}\text{, }&\left(m=0\text{ or }g_{9}=0\text{ or }k=0\right)\text{ and }P=0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by s^{2}.

$$EPs^{2}=0.5kg_{9}\times 0.8m\times 0.5m$$

Multiply m and m to get m^{2}.

$$EPs^{2}=0.5kg_{9}\times 0.8m^{2}\times 0.5$$

Multiply 0.5 and 0.8 to get 0.4.

$$EPs^{2}=0.4kg_{9}m^{2}\times 0.5$$

Multiply 0.4 and 0.5 to get 0.2.

$$EPs^{2}=0.2kg_{9}m^{2}$$

The equation is in standard form.

$$Ps^{2}E=\frac{g_{9}km^{2}}{5}$$

Divide both sides by Ps^{2}.

$$\frac{Ps^{2}E}{Ps^{2}}=\frac{g_{9}km^{2}}{5Ps^{2}}$$

Dividing by Ps^{2} undoes the multiplication by Ps^{2}.

$$E=\frac{g_{9}km^{2}}{5Ps^{2}}$$

Solve for P

$$\left\{\begin{matrix}P=\frac{\left(\frac{m}{s}\right)^{2}g_{9}k}{5E}\text{, }&s\neq 0\text{ and }E\neq 0\\P\in \mathrm{R}\text{, }&\left(m=0\text{ or }g_{9}=0\text{ or }k=0\right)\text{ and }E=0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by s^{2}.

$$EPs^{2}=0.5kg_{9}\times 0.8m\times 0.5m$$

Multiply m and m to get m^{2}.

$$EPs^{2}=0.5kg_{9}\times 0.8m^{2}\times 0.5$$

Multiply 0.5 and 0.8 to get 0.4.

$$EPs^{2}=0.4kg_{9}m^{2}\times 0.5$$

Multiply 0.4 and 0.5 to get 0.2.

$$EPs^{2}=0.2kg_{9}m^{2}$$

The equation is in standard form.

$$Es^{2}P=\frac{g_{9}km^{2}}{5}$$

Divide both sides by Es^{2}.

$$\frac{Es^{2}P}{Es^{2}}=\frac{g_{9}km^{2}}{5Es^{2}}$$

Dividing by Es^{2} undoes the multiplication by Es^{2}.

$$P=\frac{g_{9}km^{2}}{5Es^{2}}$$