Solve 4/sqrt{2/2}=3/x

$$\frac { 4 } { \frac { \sqrt { 2 } } { 2 } } = \frac { 3 } { x }$$

Solve for x

$$x=\frac{3\sqrt{2}}{8}\approx 0.530330086$$

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 x.

$$x\times 2^{\frac{1}{2}}\times 4=3$$

Divide both sides by 4.

$$x\times 2^{\frac{1}{2}}=\frac{3}{4}$$

Reorder the terms.

$$\sqrt{2}x=\frac{3}{4}$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}x}{\sqrt{2}}=\frac{\frac{3}{4}}{\sqrt{2}}$$

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

$$x=\frac{\frac{3}{4}}{\sqrt{2}}$$

Divide \frac{3}{4} by \sqrt{2}.

$$x=\frac{3\sqrt{2}}{8}$$