d. (7-2 x)/(2) (2)/(5)(2-x)=1 (1)/(4)

To solve the equation \(\frac{7-2x}{2} \cdot \frac{2}{5}(2-x) = 1\frac{1}{4}\), follow these steps:1. Convert the mixed number to an improper fraction: 2. Rewrite the equation with the improper fraction: 3. Simplify the left-hand side: 4. Multiply both sides by 5 to clear the denominator: 5. Expand the left-hand side: 6. Multiply both sides by 4 to clear the fraction: 7. Subtract 25 from both sides to set the equation to zero: 8. Use the quadratic formula where , , and : 9. Simplify further if possible: Thus, the solutions are: