Solve (5x+3)^2=5

$$( 5 x + 3 ) ^ { 2 } = 5$$

Solve for x

$$x=\frac{\sqrt{5}-3}{5}\approx -0.152786405$$

$$x=\frac{-\sqrt{5}-3}{5}\approx -1.047213595$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

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

Subtract 3 from both sides of the equation.

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

Subtracting 3 from itself leaves 0.

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

Subtract 3 from \sqrt{5}.

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

Subtract 3 from -\sqrt{5}.

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

Divide both sides by 5.

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

Dividing by 5 undoes the multiplication by 5.

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