Solve -27=-3sqrt{81-6a}

$$- 27 = - 3 \sqrt { 81 - 6 a }$$

Solve for a

$$a=0$$

Steps for Solving Radical Equations

Divide both sides by -3.

$$\frac{-27}{-3}=\sqrt{81-6a}$$

Divide -27 by -3 to get 9.

$$9=\sqrt{81-6a}$$

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

$$\sqrt{81-6a}=9$$

Square both sides of the equation.

$$-6a+81=81$$

Subtract 81 from both sides of the equation.

$$-6a+81-81=81-81$$

Subtracting 81 from itself leaves 0.

$$-6a=81-81$$

Subtract 81 from 81.

$$-6a=0$$

Divide both sides by -6.

$$\frac{-6a}{-6}=\frac{0}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$a=\frac{0}{-6}$$

Divide 0 by -6.

$$a=0$$