Solve 3(5+x)^2=6

$$3 ( 5 + x ) ^ { 2 } = 6$$

Solve for x

$$x=\sqrt{2}-5\approx -3.585786438$$

$$x=-\left(\sqrt{2}+5\right)\approx -6.414213562$$

Steps by Finding Square Root

Divide both sides by 3.

$$\frac{3\left(x+5\right)^{2}}{3}=\frac{6}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\left(x+5\right)^{2}=\frac{6}{3}$$

Divide 6 by 3.

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

Take the square root of both sides of the equation.

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

Subtract 5 from both sides of the equation.

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

Subtracting 5 from itself leaves 0.

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