Solve 5(g+8)^2+12=1727

$$5 ( g + 8 ) ^ { 2 } + 12 = 1727$$

Solve for g

$$g=7\sqrt{7}-8\approx 10.520259177$$

$$g=-7\sqrt{7}-8\approx -26.520259177$$

Steps by Finding Square Root

Subtract 12 from both sides of the equation.

$$5\left(g+8\right)^{2}+12-12=1727-12$$

Subtracting 12 from itself leaves 0.

$$5\left(g+8\right)^{2}=1727-12$$

Subtract 12 from 1727.

$$5\left(g+8\right)^{2}=1715$$

Divide both sides by 5.

$$\frac{5\left(g+8\right)^{2}}{5}=\frac{1715}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$\left(g+8\right)^{2}=\frac{1715}{5}$$

Divide 1715 by 5.

$$\left(g+8\right)^{2}=343$$

Take the square root of both sides of the equation.

$$g+8=7\sqrt{7} g+8=-7\sqrt{7}$$

Subtract 8 from both sides of the equation.

$$g+8-8=7\sqrt{7}-8 g+8-8=-7\sqrt{7}-8$$

Subtracting 8 from itself leaves 0.

$$g=7\sqrt{7}-8 g=-7\sqrt{7}-8$$