5) $-2 x^{2}+10 x=0$

Step 1 ：Factor the equation: \(-2x^2 + 10x = -2x(x - 5) = 0\)

Step 2 ：Solve for x: \(-2x = 0\) or \(x - 5 = 0\)

Step 3 ：Find the solutions: \(x = 0\) and \(x = 5\)

Step 4 ：\(\boxed{x = 0, x = 5}\)