Solve |x+2+3|+sqrt{y-23}=0

$$| x + 2 + 3 | + \sqrt { y - 23 } = 0$$

Solve for y

$$y=\left(x+5\right)^{2}+23$$

$$x+5\geq 0\text{ and }x\leq -5$$

Steps for Solving Radical Equations

Subtract |x+5| from both sides of the equation.

$$\sqrt{y-23}+|x+5|-|x+5|=-|x+5|$$

Subtracting |x+5| from itself leaves 0.

$$\sqrt{y-23}=-|x+5|$$

Square both sides of the equation.

$$y-23=\left(x+5\right)^{2}$$

Add 23 to both sides of the equation.

$$y-23-\left(-23\right)=\left(x+5\right)^{2}-\left(-23\right)$$

Subtracting -23 from itself leaves 0.

$$y=\left(x+5\right)^{2}-\left(-23\right)$$

Subtract -23 from \left(x+5\right)^{2}.

$$y=\left(x+5\right)^{2}+23$$

Solve for x

$$x=-5$$

$$y=23$$