Answer:
m= 2 or 0.75
Step-by-step explanation:
[tex] - 5m + 10(6 = 8m) \\ - 30m + 60 = - 40{m}^{2} + 80m \\ 60 = - 40{m}^{2} + 80m + 30m \\ [/tex]
[tex]60 = - 40{m}^{2} + 110m \\0 = - 40{m}^{2[/tex]} + 110m - 60 \\ 0 = - (40 {m}^{2} - 110m + 60) \\ 0 = - (5m - 10)(8m - 6) [/tex]
split into two equations:
[tex]0 = - (5m - 10) \\ 0 = - 5m + 10 \\ - 10 = - 5m \\ m = 2[/tex]
and
[tex]0 = 8m - 6 \\ 6 = 8m \\ m = 0.75[/tex]
