Solve 6sqrt{2}*frac{9sqrt{2}}{2}=3sqrt{5}x

$$6 \sqrt { 2 } \times \frac { 9 \sqrt { 2 } } { 2 } = 3 \sqrt { 5 } x$$

Solve for x

$$x = \frac{18 \sqrt{5}}{5} \approx 8.049844719$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$6\sqrt{2}\times 9\sqrt{2}=6\sqrt{5}x$$

Multiply 6 and 9 to get 54.

$$54\sqrt{2}\sqrt{2}=6\sqrt{5}x$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

$$54\times 2=6\sqrt{5}x$$

Multiply 54 and 2 to get 108.

$$108=6\sqrt{5}x$$

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

$$6\sqrt{5}x=108$$

Divide both sides by 6\sqrt{5}.

$$\frac{6\sqrt{5}x}{6\sqrt{5}}=\frac{108}{6\sqrt{5}}$$

Dividing by 6\sqrt{5} undoes the multiplication by 6\sqrt{5}.

$$x=\frac{108}{6\sqrt{5}}$$

Divide 108 by 6\sqrt{5}.

$$x=\frac{18\sqrt{5}}{5}$$