Solve z=50*(1+0.576/1-0.576)

$$z = 50 \cdot ( \frac { 1 + 0.576 } { 1 - 0.576 } )$$

Solve for z

$$z = \frac{9850}{53} = 185\frac{45}{53} \approx 185.849056604$$

Steps for Solving Linear Equation

Add 1 and 0.576 to get 1.576.

$$z=50\times \frac{1.576}{1-0.576}$$

Subtract 0.576 from 1 to get 0.424.

$$z=50\times \frac{1.576}{0.424}$$

Expand \frac{1.576}{0.424} by multiplying both numerator and the denominator by 1000.

$$z=50\times \frac{1576}{424}$$

Reduce the fraction \frac{1576}{424} to lowest terms by extracting and canceling out 8.

$$z=50\times \frac{197}{53}$$

Express 50\times \frac{197}{53} as a single fraction.

$$z=\frac{50\times 197}{53}$$

Multiply 50 and 197 to get 9850.

$$z=\frac{9850}{53}$$

Assign z

$$z≔\frac{9850}{53}$$