Solve r^2+7x+2=0

$$r ^ { 2 } + 7 x + 2 = 0$$

Solve for x

$$x=\frac{-r^{2}-2}{7}$$

Steps for Solving Linear Equation

Subtract r^{2} from both sides. Anything subtracted from zero gives its negation.

$$7x+2=-r^{2}$$

Subtract 2 from both sides.

$$7x=-r^{2}-2$$

Divide both sides by 7.

$$\frac{7x}{7}=\frac{-r^{2}-2}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$x=\frac{-r^{2}-2}{7}$$

Solve for r

$$r=\sqrt{-7x-2}$$

$$r=-\sqrt{-7x-2}\text{, }x\leq -\frac{2}{7}$$