Solve 50sqrt{40*x}=5

$$50 \sqrt { 40 \times x } = 5$$

Solve for x

$$x=\frac{1}{4000}=0.00025$$

Steps for Solving Radical Equations

Divide both sides by 50.

$$\frac{50\sqrt{40x}}{50}=\frac{5}{50}$$

Dividing by 50 undoes the multiplication by 50.

$$\sqrt{40x}=\frac{5}{50}$$

Reduce the fraction \frac{5}{50} to lowest terms by extracting and canceling out 5.

$$\sqrt{40x}=\frac{1}{10}$$

Square both sides of the equation.

$$40x=\frac{1}{100}$$

Divide both sides by 40.

$$\frac{40x}{40}=\frac{\frac{1}{100}}{40}$$

Dividing by 40 undoes the multiplication by 40.

$$x=\frac{\frac{1}{100}}{40}$$

Divide \frac{1}{100} by 40.

$$x=\frac{1}{4000}$$