Solve 4kW*0.5h=2kWhquad2kW*h

$$4 kW \times 0.5 h = 2 kW h \quad 2 kW \cdot h$$

Solve for h (complex solution)

$$\left\{\begin{matrix}\\h=0\text{, }&\text{unconditionally}\\h\in \mathrm{C}\text{, }&\left(W=\frac{1}{h_{2}k}\text{ and }h_{2}\neq 0\text{ and }k\neq 0\right)\text{ or }W=0\text{ or }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4kW\times 0.5h=2k^{2}Wh_{2}Wh$$

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

$$4kW\times 0.5h=2k^{2}W^{2}h_{2}h$$

Multiply 4 and 0.5 to get 2.

$$2kWh=2k^{2}W^{2}h_{2}h$$

Subtract 2k^{2}W^{2}h_{2}h from both sides.

$$2kWh-2k^{2}W^{2}h_{2}h=0$$

Combine all terms containing h.

$$\left(2kW-2k^{2}W^{2}h_{2}\right)h=0$$

The equation is in standard form.

$$\left(2Wk-2h_{2}W^{2}k^{2}\right)h=0$$

Divide 0 by 2kW-2k^{2}W^{2}h_{2}.

$$h=0$$

Solve for h

$$\left\{\begin{matrix}\\h=0\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&\left(W=\frac{1}{h_{2}k}\text{ and }k\neq 0\text{ and }h_{2}\neq 0\right)\text{ or }W=0\text{ or }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4kW\times 0.5h=2k^{2}Wh_{2}Wh$$

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

$$4kW\times 0.5h=2k^{2}W^{2}h_{2}h$$

Multiply 4 and 0.5 to get 2.

$$2kWh=2k^{2}W^{2}h_{2}h$$

Subtract 2k^{2}W^{2}h_{2}h from both sides.

$$2kWh-2k^{2}W^{2}h_{2}h=0$$

Combine all terms containing h.

$$\left(2kW-2k^{2}W^{2}h_{2}\right)h=0$$

The equation is in standard form.

$$\left(2Wk-2h_{2}W^{2}k^{2}\right)h=0$$

Divide 0 by 2kW-2k^{2}W^{2}h_{2}.

$$h=0$$

Solve for W (complex solution)

$$\left\{\begin{matrix}\\W=0\text{, }&\text{unconditionally}\\W\in \mathrm{C}\text{, }&h=0\text{ or }k=0\\W=\frac{1}{h_{2}k}\text{, }&h_{2}\neq 0\text{ and }k\neq 0\end{matrix}\right.$$

Solve for W

$$\left\{\begin{matrix}\\W=0\text{, }&\text{unconditionally}\\W\in \mathrm{R}\text{, }&h=0\text{ or }k=0\\W=\frac{1}{h_{2}k}\text{, }&h_{2}\neq 0\text{ and }k\neq 0\end{matrix}\right.$$