Solve frac{sqrt{2}}{2}=3/x

$$\frac { \sqrt { 2 } } { 2 } = \frac { 3 } { x }$$

Solve for x

$$x=3\sqrt{2}\approx 4.242640687$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.

$$x\sqrt{2}=2\times 3$$

Multiply 2 and 3 to get 6.

$$x\sqrt{2}=6$$

The equation is in standard form.

$$\sqrt{2}x=6$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}x}{\sqrt{2}}=\frac{6}{\sqrt{2}}$$

Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.

$$x=\frac{6}{\sqrt{2}}$$

Divide 6 by \sqrt{2}.

$$x=3\sqrt{2}$$