Solve =1/2bh=192cm^2

$$= \frac { 1 } { 2 } bh = 192 cm ^ { 2 }$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{384cm^{2}}{h}\text{, }&h\neq 0\\b\in \mathrm{C}\text{, }&\left(c=0\text{ or }m=0\right)\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{h}{2}b=192cm^{2}$$

Divide both sides by \frac{1}{2}h.

$$\frac{2\times \frac{h}{2}b}{h}=\frac{2\times 192cm^{2}}{h}$$

Dividing by \frac{1}{2}h undoes the multiplication by \frac{1}{2}h.

$$b=\frac{2\times 192cm^{2}}{h}$$

Divide 192cm^{2} by \frac{1}{2}h.

$$b=\frac{384cm^{2}}{h}$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{bh}{384m^{2}}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&\left(b=0\text{ or }h=0\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$192cm^{2}=\frac{1}{2}bh$$

The equation is in standard form.

$$192m^{2}c=\frac{bh}{2}$$

Divide both sides by 192m^{2}.

$$\frac{192m^{2}c}{192m^{2}}=\frac{bh}{2\times 192m^{2}}$$

Dividing by 192m^{2} undoes the multiplication by 192m^{2}.

$$c=\frac{bh}{2\times 192m^{2}}$$

Divide \frac{bh}{2} by 192m^{2}.

$$c=\frac{bh}{384m^{2}}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{384cm^{2}}{h}\text{, }&h\neq 0\\b\in \mathrm{R}\text{, }&\left(c=0\text{ or }m=0\right)\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{h}{2}b=192cm^{2}$$

Divide both sides by \frac{1}{2}h.

$$\frac{2\times \frac{h}{2}b}{h}=\frac{2\times 192cm^{2}}{h}$$

Dividing by \frac{1}{2}h undoes the multiplication by \frac{1}{2}h.

$$b=\frac{2\times 192cm^{2}}{h}$$

Divide 192cm^{2} by \frac{1}{2}h.

$$b=\frac{384cm^{2}}{h}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{bh}{384m^{2}}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&\left(b=0\text{ or }h=0\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$192cm^{2}=\frac{1}{2}bh$$

The equation is in standard form.

$$192m^{2}c=\frac{bh}{2}$$

Divide both sides by 192m^{2}.

$$\frac{192m^{2}c}{192m^{2}}=\frac{bh}{2\times 192m^{2}}$$

Dividing by 192m^{2} undoes the multiplication by 192m^{2}.

$$c=\frac{bh}{2\times 192m^{2}}$$

Divide \frac{bh}{2} by 192m^{2}.

$$c=\frac{bh}{384m^{2}}$$