Solve 5(x+8)^2-3=32

$$5 ( x + 8 ) ^ { 2 } - 3 = 32$$

Solve for x

$$x=\sqrt{7}-8\approx -5.354248689$$

$$x=-\left(\sqrt{7}+8\right)\approx -10.645751311$$

Steps by Finding Square Root

Add 3 to both sides of the equation.

$$5\left(x+8\right)^{2}-3+3=32+3$$

Subtracting 3 from itself leaves 0.

$$5\left(x+8\right)^{2}=32+3$$

Add 32 to 3.

$$5\left(x+8\right)^{2}=35$$

Divide both sides by 5.

$$\frac{5\left(x+8\right)^{2}}{5}=\frac{35}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$\left(x+8\right)^{2}=\frac{35}{5}$$

Divide 35 by 5.

$$\left(x+8\right)^{2}=7$$

Take the square root of both sides of the equation.

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

Subtract 8 from both sides of the equation.

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

Subtracting 8 from itself leaves 0.

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