Solve 12+sqrt{1-4x}=15

$$12 + \sqrt { 1 - 4 x } = 15$$

Solve for x

$$x=-2$$

Steps for Solving Radical Equations

Subtract 12 from both sides of the equation.

$$\sqrt{-4x+1}+12-12=15-12$$

Subtracting 12 from itself leaves 0.

$$\sqrt{-4x+1}=15-12$$

Subtract 12 from 15.

$$\sqrt{-4x+1}=3$$

Square both sides of the equation.

$$-4x+1=9$$

Subtract 1 from both sides of the equation.

$$-4x+1-1=9-1$$

Subtracting 1 from itself leaves 0.

$$-4x=9-1$$

Subtract 1 from 9.

$$-4x=8$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{8}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{8}{-4}$$

Divide 8 by -4.

$$x=-2$$