Answer:
[tex] x = \boxed{2}\: and\: x = \boxed{ \frac{5}{2} } [/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - 9x + 10 = 0 \\ \\ 2 {x}^{2} - 4x - 5x + 10 = 0 \\ \\ 2x(x - 2) - 5(x - 2) = 0 \\ \\ (x - 2)(2x - 5) = 0 \\ \\ x - 2 = 0 \: \: 2x - 5 = 0 \\ \\ x = \boxed{2} \: and \: x = \boxed{ \frac{5}{2} } \\ \\ [/tex]
