Solve -6+(x+4)^2=0

$$- 6 + ( x + 4 ) ^ { 2 } = 0$$

Solve for x

$$x=\sqrt{6}-4\approx -1.550510257$$

$$x=-\left(\sqrt{6}+4\right)\approx -6.449489743$$

Steps by Finding Square Root

Add 6 to both sides of the equation.

$$\left(x+4\right)^{2}-6+6=6$$

Subtracting 6 from itself leaves 0.

$$\left(x+4\right)^{2}=6$$

Take the square root of both sides of the equation.

$$x+4=\sqrt{6} x+4=-\sqrt{6}$$

Subtract 4 from both sides of the equation.

$$x+4-4=\sqrt{6}-4 x+4-4=-\sqrt{6}-4$$

Subtracting 4 from itself leaves 0.

$$x=\sqrt{6}-4 x=-\sqrt{6}-4$$