Solve 90=16t^2+90+ar

$$90 = 16 t ^ { 2 } + 90 + a r$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-\frac{16t^{2}}{r}\text{, }&r\neq 0\\a\in \mathrm{C}\text{, }&t=0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$16t^{2}+90+ar=90$$

Subtract 16t^{2} from both sides.

$$90+ar=90-16t^{2}$$

Subtract 90 from both sides.

$$ar=90-16t^{2}-90$$

Subtract 90 from 90 to get 0.

$$ar=-16t^{2}$$

The equation is in standard form.

$$ra=-16t^{2}$$

Divide both sides by r.

$$\frac{ra}{r}=-\frac{16t^{2}}{r}$$

Dividing by r undoes the multiplication by r.

$$a=-\frac{16t^{2}}{r}$$

Solve for r (complex solution)

$$\left\{\begin{matrix}r=-\frac{16t^{2}}{a}\text{, }&a\neq 0\\r\in \mathrm{C}\text{, }&t=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$16t^{2}+90+ar=90$$

Subtract 16t^{2} from both sides.

$$90+ar=90-16t^{2}$$

Subtract 90 from both sides.

$$ar=90-16t^{2}-90$$

Subtract 90 from 90 to get 0.

$$ar=-16t^{2}$$

Divide both sides by a.

$$\frac{ar}{a}=-\frac{16t^{2}}{a}$$

Dividing by a undoes the multiplication by a.

$$r=-\frac{16t^{2}}{a}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{16t^{2}}{r}\text{, }&r\neq 0\\a\in \mathrm{R}\text{, }&t=0\text{ and }r=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$16t^{2}+90+ar=90$$

Subtract 16t^{2} from both sides.

$$90+ar=90-16t^{2}$$

Subtract 90 from both sides.

$$ar=90-16t^{2}-90$$

Subtract 90 from 90 to get 0.

$$ar=-16t^{2}$$

The equation is in standard form.

$$ra=-16t^{2}$$

Divide both sides by r.

$$\frac{ra}{r}=-\frac{16t^{2}}{r}$$

Dividing by r undoes the multiplication by r.

$$a=-\frac{16t^{2}}{r}$$

Solve for r

$$\left\{\begin{matrix}r=-\frac{16t^{2}}{a}\text{, }&a\neq 0\\r\in \mathrm{R}\text{, }&t=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$16t^{2}+90+ar=90$$

Subtract 16t^{2} from both sides.

$$90+ar=90-16t^{2}$$

Subtract 90 from both sides.

$$ar=90-16t^{2}-90$$

Subtract 90 from 90 to get 0.

$$ar=-16t^{2}$$

Divide both sides by a.

$$\frac{ar}{a}=-\frac{16t^{2}}{a}$$

Dividing by a undoes the multiplication by a.

$$r=-\frac{16t^{2}}{a}$$