Solve 5left(x+2right)^2=60

$$5 { \left(x+2 \right) }^{ 2 } =60$$

Solve for x

$$x=2\sqrt{3}-2\approx 1.464101615$$

$$x=-2\sqrt{3}-2\approx -5.464101615$$

Steps by Finding Square Root

Divide both sides by 5.

$$\frac{5\left(x+2\right)^{2}}{5}=\frac{60}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$\left(x+2\right)^{2}=\frac{60}{5}$$

Divide 60 by 5.

$$\left(x+2\right)^{2}=12$$

Take the square root of both sides of the equation.

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

Subtract 2 from both sides of the equation.

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

Subtracting 2 from itself leaves 0.

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