Solve 2-sqrt{v+3}=-7

$$2 - \sqrt { v + 3 } = - 7$$

Solve for v

$$v=78$$

Steps for Solving Radical Equations

Subtract 2 from both sides of the equation.

$$-\sqrt{v+3}+2-2=-7-2$$

Subtracting 2 from itself leaves 0.

$$-\sqrt{v+3}=-7-2$$

Subtract 2 from -7.

$$-\sqrt{v+3}=-9$$

Divide both sides by -1.

$$\frac{-\sqrt{v+3}}{-1}=-\frac{9}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$\sqrt{v+3}=-\frac{9}{-1}$$

Divide -9 by -1.

$$\sqrt{v+3}=9$$

Square both sides of the equation.

$$v+3=81$$

Subtract 3 from both sides of the equation.

$$v+3-3=81-3$$

Subtracting 3 from itself leaves 0.

$$v=81-3$$

Subtract 3 from 81.

$$v=78$$