Solve -2+3x-r^2=0

$$- 2 + 3 x - r ^ { 2 } = 0$$

Solve for x

$$x=\frac{r^{2}+2}{3}$$

Steps for Solving Linear Equation

Add 2 to both sides. Anything plus zero gives itself.

$$3x-r^{2}=2$$

Add r^{2} to both sides.

$$3x=2+r^{2}$$

The equation is in standard form.

$$3x=r^{2}+2$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{r^{2}+2}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{r^{2}+2}{3}$$

Solve for r (complex solution)

$$r=-\sqrt{3x-2}$$

$$r=\sqrt{3x-2}$$

Solve for r

$$r=\sqrt{3x-2}$$

$$r=-\sqrt{3x-2}\text{, }x\geq \frac{2}{3}$$