Solve 2=x^2*330

$$2= { x }^{ 2 } \times 330$$

Solve for x

$$x=\frac{\sqrt{165}}{165}\approx 0.077849894$$

$$x=-\frac{\sqrt{165}}{165}\approx -0.077849894$$

Steps by Finding Square Root

Divide both sides by 330.

$$\frac{2}{330}=x^{2}$$

Reduce the fraction \frac{2}{330} to lowest terms by extracting and canceling out 2.

$$\frac{1}{165}=x^{2}$$

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

$$x^{2}=\frac{1}{165}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{165}}{165} x=-\frac{\sqrt{165}}{165}$$

Steps Using the Quadratic Formula

Divide both sides by 330.

$$\frac{2}{330}=x^{2}$$

Reduce the fraction \frac{2}{330} to lowest terms by extracting and canceling out 2.

$$\frac{1}{165}=x^{2}$$

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

$$x^{2}=\frac{1}{165}$$

Subtract \frac{1}{165} from both sides.

$$x^{2}-\frac{1}{165}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{1}{165} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{1}{165}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{1}{165}\right)}}{2}$$

Multiply -4 times -\frac{1}{165}.

$$x=\frac{0±\sqrt{\frac{4}{165}}}{2}$$

Take the square root of \frac{4}{165}.

$$x=\frac{0±\frac{2\sqrt{165}}{165}}{2}$$

Now solve the equation x=\frac{0±\frac{2\sqrt{165}}{165}}{2} when ± is plus.

$$x=\frac{\sqrt{165}}{165}$$

Now solve the equation x=\frac{0±\frac{2\sqrt{165}}{165}}{2} when ± is minus.

$$x=-\frac{\sqrt{165}}{165}$$

The equation is now solved.

$$x=\frac{\sqrt{165}}{165} x=-\frac{\sqrt{165}}{165}$$