Solve 12/50x=sqrt{2}

$$\frac{ 12 }{ 50 } x= \sqrt{ 2 }$$

Solve for x

$$x = \frac{25 \sqrt{2}}{6} \approx 5.89255651$$

Steps for Solving Linear Equation

Reduce the fraction \frac{12}{50} to lowest terms by extracting and canceling out 2.

$$\frac{6}{25}x=\sqrt{2}$$

Divide both sides of the equation by \frac{6}{25}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{6}{25}x}{\frac{6}{25}}=\frac{\sqrt{2}}{\frac{6}{25}}$$

Dividing by \frac{6}{25} undoes the multiplication by \frac{6}{25}.

$$x=\frac{\sqrt{2}}{\frac{6}{25}}$$

Divide \sqrt{2} by \frac{6}{25} by multiplying \sqrt{2} by the reciprocal of \frac{6}{25}.

$$x=\frac{25\sqrt{2}}{6}$$