Solve frac{xsqrt{2}}{sqrt{2}}=frac{3sqrt{5}}{5}

$$\frac { x \sqrt { 2 } } { \sqrt { 2 } } = \frac { 3 \sqrt { 5 } } { 5 }$$

Solve for x

$$x = \frac{3 \sqrt{5}}{5} \approx 1.341640786$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$\frac{5}{2}\times 2^{\frac{1}{2}}x\sqrt{2}=3\sqrt{5}$$

Reorder the terms.

$$\frac{5}{2}\sqrt{2}\sqrt{2}x=3\sqrt{5}$$

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

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

Cancel out 2 and 2.

$$5x=3\sqrt{5}$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{3\sqrt{5}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{3\sqrt{5}}{5}$$