Solve 9-sqrt{-5x}=6

$$9 - \sqrt { - 5 x } = 6$$

Solve for x

$$x = -\frac{9}{5} = -1\frac{4}{5} = -1.8$$

Steps for Solving Radical Equations

Subtract 9 from both sides of the equation.

$$-\sqrt{-5x}+9-9=6-9$$

Subtracting 9 from itself leaves 0.

$$-\sqrt{-5x}=6-9$$

Subtract 9 from 6.

$$-\sqrt{-5x}=-3$$

Divide both sides by -1.

$$\frac{-\sqrt{-5x}}{-1}=-\frac{3}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{-5x}=-\frac{3}{-1}$$

Divide -3 by -1.

$$\sqrt{-5x}=3$$

Square both sides of the equation.

$$-5x=9$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{9}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{9}{-5}$$

Divide 9 by -5.

$$x=-\frac{9}{5}$$