Solve 6=frac{xsqrt{2}}{2}

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

Solve for x

$$x=6\sqrt{2}\approx 8.485281374$$

Steps for Solving Linear Equation

Multiply both sides by 2.

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

Multiply 6 and 2 to get 12.

$$12=x\sqrt{2}$$

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

$$x\sqrt{2}=12$$

The equation is in standard form.

$$\sqrt{2}x=12$$

Divide both sides by \sqrt{2}.

$$\frac{\sqrt{2}x}{\sqrt{2}}=\frac{12}{\sqrt{2}}$$

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

$$x=\frac{12}{\sqrt{2}}$$

Divide 12 by \sqrt{2}.

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