Solve 3sqrt{4-3x}=21

$$3 \sqrt{ 4-3x } =21$$

Solve for x

$$x=-15$$

Steps for Solving Radical Equations

Divide both sides by 3.

$$\frac{3\sqrt{-3x+4}}{3}=\frac{21}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$\sqrt{-3x+4}=\frac{21}{3}$$

Divide 21 by 3.

$$\sqrt{-3x+4}=7$$

Square both sides of the equation.

$$-3x+4=49$$

Subtract 4 from both sides of the equation.

$$-3x+4-4=49-4$$

Subtracting 4 from itself leaves 0.

$$-3x=49-4$$

Subtract 4 from 49.

$$-3x=45$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{45}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{45}{-3}$$

Divide 45 by -3.

$$x=-15$$