Solve 5(u+5)^2=60

$$5 ( u + 5 ) ^ { 2 } = 60$$

Solve for u

$$u=2\sqrt{3}-5\approx -1.535898385$$

$$u=-2\sqrt{3}-5\approx -8.464101615$$

Steps by Finding Square Root

Divide both sides by 5.

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

Dividing by 5 undoes the multiplication by 5.

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

Divide 60 by 5.

$$\left(u+5\right)^{2}=12$$

Take the square root of both sides of the equation.

$$u+5=2\sqrt{3} u+5=-2\sqrt{3}$$

Subtract 5 from both sides of the equation.

$$u+5-5=2\sqrt{3}-5 u+5-5=-2\sqrt{3}-5$$

Subtracting 5 from itself leaves 0.

$$u=2\sqrt{3}-5 u=-2\sqrt{3}-5$$