Solve -6+sqrt{-4-4m}=0

$$- 6 + \sqrt { - 4 - 4 m } = 0$$

Solve for m

$$m=-10$$

Steps for Solving Radical Equations

Add 6 to both sides of the equation.

$$\sqrt{-4m-4}-6-\left(-6\right)=-\left(-6\right)$$

Subtracting -6 from itself leaves 0.

$$\sqrt{-4m-4}=-\left(-6\right)$$

Subtract -6 from 0.

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

Square both sides of the equation.

$$-4m-4=36$$

Add 4 to both sides of the equation.

$$-4m-4-\left(-4\right)=36-\left(-4\right)$$

Subtracting -4 from itself leaves 0.

$$-4m=36-\left(-4\right)$$

Subtract -4 from 36.

$$-4m=40$$

Divide both sides by -4.

$$\frac{-4m}{-4}=\frac{40}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$m=\frac{40}{-4}$$

Divide 40 by -4.

$$m=-10$$