Final answer:
To solve the provided quadratic equation, we simplify it to standard form and then apply the quadratic formula with coefficients a = -2, b = 44, and c = -50 to find the values of s.
Step-by-step explanation:
The question provides a quadratic equation in the form -2s² + 44s = 50. To solve this, we must first simplify the equation by moving all terms to one side, resulting in -2s² + 44s - 50 = 0. Then we use the quadratic formula s = −b ± √(b² − 4ac)/(2a), where a = -2, b = 44, and c = -50, to find the values of s that satisfy the equation.
Applying the quadratic formula gives two potential solutions for s. Solve for s by substituting these values into the quadratic formula and simplifying.