Solve (3-5x)^2=165

$$( 3 - 5 x ) ^ { 2 } = 165$$

Solve for x

$$x=\frac{3-\sqrt{165}}{5}\approx -1.969046516$$

$$x = \frac{\sqrt{165} + 3}{5} \approx 3.169046516$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$-5x+3=\sqrt{165} -5x+3=-\sqrt{165}$$

Subtract 3 from both sides of the equation.

$$-5x+3-3=\sqrt{165}-3 -5x+3-3=-\sqrt{165}-3$$

Subtracting 3 from itself leaves 0.

$$-5x=\sqrt{165}-3 -5x=-\sqrt{165}-3$$

Subtract 3 from \sqrt{165}.

$$-5x=\sqrt{165}-3$$

Subtract 3 from -\sqrt{165}.

$$-5x=-\sqrt{165}-3$$

Divide both sides by -5.

$$\frac{-5x}{-5}=\frac{\sqrt{165}-3}{-5} \frac{-5x}{-5}=\frac{-\sqrt{165}-3}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x=\frac{\sqrt{165}-3}{-5} x=\frac{-\sqrt{165}-3}{-5}$$

Divide \sqrt{165}-3 by -5.

$$x=\frac{3-\sqrt{165}}{5}$$

Divide -\sqrt{165}-3 by -5.

$$x=\frac{\sqrt{165}+3}{5}$$

The equation is now solved.

$$x=\frac{3-\sqrt{165}}{5} x=\frac{\sqrt{165}+3}{5}$$