Solve 3(x+5)^2=60

$$3 ( x + 5 ) ^ { 2 } = 60$$

Solve for x

$$x=2\sqrt{5}-5\approx -0.527864045$$

$$x=-2\sqrt{5}-5\approx -9.472135955$$

Steps by Finding Square Root

Divide both sides by 3.

$$\frac{3\left(x+5\right)^{2}}{3}=\frac{60}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\left(x+5\right)^{2}=\frac{60}{3}$$

Divide 60 by 3.

$$\left(x+5\right)^{2}=20$$

Take the square root of both sides of the equation.

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

Subtract 5 from both sides of the equation.

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

Subtracting 5 from itself leaves 0.

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