Solve 18^2-5x+sqrt{5}=x

$$18 ^ { 2 } - 5 x + \sqrt { 5 } = x$$

Solve for x

$$x = \frac{\sqrt{5} + 324}{6} \approx 54.372677996$$

Steps for Solving Linear Equation

Calculate 18 to the power of 2 and get 324.

$$324-5x+\sqrt{5}=x$$

Subtract x from both sides.

$$324-5x+\sqrt{5}-x=0$$

Combine -5x and -x to get -6x.

$$324-6x+\sqrt{5}=0$$

Subtract 324 from both sides. Anything subtracted from zero gives its negation.

$$-6x+\sqrt{5}=-324$$

Subtract \sqrt{5} from both sides.

$$-6x=-324-\sqrt{5}$$

The equation is in standard form.

$$-6x=-\sqrt{5}-324$$

Divide both sides by -6.

$$\frac{-6x}{-6}=\frac{-\sqrt{5}-324}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$x=\frac{-\sqrt{5}-324}{-6}$$

Divide -324-\sqrt{5} by -6.

$$x=\frac{\sqrt{5}}{6}+54$$