Solve 3(x+2)^2=24

$$3 ( x + 2 ) ^ { 2 } = 24$$

Solve for x

$$x=2\sqrt{2}-2\approx 0.828427125$$

$$x=-2\sqrt{2}-2\approx -4.828427125$$

Steps by Finding Square Root

Divide both sides by 3.

$$\frac{3\left(x+2\right)^{2}}{3}=\frac{24}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\left(x+2\right)^{2}=\frac{24}{3}$$

Divide 24 by 3.

$$\left(x+2\right)^{2}=8$$

Take the square root of both sides of the equation.

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

Subtract 2 from both sides of the equation.

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

Subtracting 2 from itself leaves 0.

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