Solve 14=14+sqrt{-4f-12}

$$14 = 14 + \sqrt { - 4 f - 12 }$$

Solve for f

$$f=-3$$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$14+\sqrt{-4f-12}=14$$

Subtract 14 from both sides.

$$\sqrt{-4f-12}=14-14$$

Subtract 14 from 14 to get 0.

$$\sqrt{-4f-12}=0$$

Square both sides of the equation.

$$-4f-12=0$$

Add 12 to both sides of the equation.

$$-4f-12-\left(-12\right)=-\left(-12\right)$$

Subtracting -12 from itself leaves 0.

$$-4f=-\left(-12\right)$$

Subtract -12 from 0.

$$-4f=12$$

Divide both sides by -4.

$$\frac{-4f}{-4}=\frac{12}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$f=\frac{12}{-4}$$

Divide 12 by -4.

$$f=-3$$