Solve 7.589=0.24sqrt{(125-00)x(105-0)}

$$7.589 = 0.24 \sqrt { ( 125 - 00 ) x ( 105 - 0 ) }$$

Solve for x

$$x=\frac{57592921}{756000000}\approx 0.076181112$$

Steps for Solving Radical Equations

Divide both sides by 0.24.

$$\frac{7.589}{0.24}=\sqrt{\left(125-0\times 0\right)x\left(105-0\right)}$$

Expand \frac{7.589}{0.24} by multiplying both numerator and the denominator by 1000.

$$\frac{7589}{240}=\sqrt{\left(125-0\times 0\right)x\left(105-0\right)}$$

Multiply 0 and 0 to get 0.

$$\frac{7589}{240}=\sqrt{\left(125-0\right)x\left(105-0\right)}$$

Subtract 0 from 125 to get 125.

$$\frac{7589}{240}=\sqrt{125x\left(105-0\right)}$$

Subtract 0 from 105 to get 105.

$$\frac{7589}{240}=\sqrt{125x\times 105}$$

Multiply 125 and 105 to get 13125.

$$\frac{7589}{240}=\sqrt{13125x}$$

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

$$\sqrt{13125x}=\frac{7589}{240}$$

Square both sides of the equation.

$$13125x=\frac{57592921}{57600}$$

Divide both sides by 13125.

$$\frac{13125x}{13125}=\frac{\frac{57592921}{57600}}{13125}$$

Dividing by 13125 undoes the multiplication by 13125.

$$x=\frac{\frac{57592921}{57600}}{13125}$$

Divide \frac{57592921}{57600} by 13125.

$$x=\frac{57592921}{756000000}$$