Solve -5(x+2)^2+15=0

$$- 5 ( x + 2 ) ^ { 2 } + 15 = 0$$

Solve for x

$$x=\sqrt{3}-2\approx -0.267949192$$

$$x=-\left(\sqrt{3}+2\right)\approx -3.732050808$$

Steps by Finding Square Root

Subtract 15 from both sides of the equation.

$$-5\left(x+2\right)^{2}+15-15=-15$$

Subtracting 15 from itself leaves 0.

$$-5\left(x+2\right)^{2}=-15$$

Divide both sides by -5.

$$\frac{-5\left(x+2\right)^{2}}{-5}=-\frac{15}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$\left(x+2\right)^{2}=-\frac{15}{-5}$$

Divide -15 by -5.

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

Take the square root of both sides of the equation.

$$x+2=\sqrt{3} x+2=-\sqrt{3}$$

Subtract 2 from both sides of the equation.

$$x+2-2=\sqrt{3}-2 x+2-2=-\sqrt{3}-2$$

Subtracting 2 from itself leaves 0.

$$x=\sqrt{3}-2 x=-\sqrt{3}-2$$