Solve yh=-16t^2+256

$$y h = - 16 t ^ { 2 } + 256$$

Solve for h (complex solution)

$$\left\{\begin{matrix}h=-\frac{16\left(t^{2}-16\right)}{y}\text{, }&y\neq 0\\h\in \mathrm{C}\text{, }&\left(t=-4\text{ or }t=4\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yh=256-16t^{2}$$

Divide both sides by y.

$$\frac{yh}{y}=\frac{256-16t^{2}}{y}$$

Dividing by y undoes the multiplication by y.

$$h=\frac{256-16t^{2}}{y}$$

Divide -16t^{2}+256 by y.

$$h=\frac{16\left(4-t\right)\left(t+4\right)}{y}$$

Solve for h

$$\left\{\begin{matrix}h=-\frac{16\left(t^{2}-16\right)}{y}\text{, }&y\neq 0\\h\in \mathrm{R}\text{, }&y=0\text{ and }|t|=4\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yh=256-16t^{2}$$

Divide both sides by y.

$$\frac{yh}{y}=\frac{256-16t^{2}}{y}$$

Dividing by y undoes the multiplication by y.

$$h=\frac{256-16t^{2}}{y}$$

Divide -16t^{2}+256 by y.

$$h=\frac{16\left(4-t\right)\left(t+4\right)}{y}$$

Solve for t (complex solution)

$$t=-\frac{\sqrt{256-hy}}{4}$$

$$t=\frac{\sqrt{256-hy}}{4}$$

Solve for t

$$t=\frac{\sqrt{256-hy}}{4}$$

$$t=-\frac{\sqrt{256-hy}}{4}\text{, }\left(h\geq 0\text{ or }y\geq \frac{256}{h}\right)\text{ and }\left(h\leq 0\text{ or }y\leq \frac{256}{h}\right)$$