Solve 3left(x+9right)^2=60

$$3 { \left(x+9 \right) }^{ 2 } =60$$

Solve for x

$$x=2\sqrt{5}-9\approx -4.527864045$$

$$x=-2\sqrt{5}-9\approx -13.472135955$$

Steps by Finding Square Root

Divide both sides by 3.

$$\frac{3\left(x+9\right)^{2}}{3}=\frac{60}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\left(x+9\right)^{2}=\frac{60}{3}$$

Divide 60 by 3.

$$\left(x+9\right)^{2}=20$$

Take the square root of both sides of the equation.

$$x+9=2\sqrt{5} x+9=-2\sqrt{5}$$

Subtract 9 from both sides of the equation.

$$x+9-9=2\sqrt{5}-9 x+9-9=-2\sqrt{5}-9$$

Subtracting 9 from itself leaves 0.

$$x=2\sqrt{5}-9 x=-2\sqrt{5}-9$$