Question

What is the solution of -5m+10(6=8m)

Answer 1

Answer:

m= 2 or 0.75

Step-by-step explanation:

$- 5m + 10(6 = 8m) \\ - 30m + 60 = - 40{m}^{2} + 80m \\ 60 = - 40{m}^{2} + 80m + 30m$

$60 = - 40{m}^{2} + 110m \\0 = - 40{m}^{2$} + 110m - 60 \\ 0 = - (40 {m}^{2} - 110m + 60) \\ 0 = - (5m - 10)(8m - 6) [/tex]

split into two equations:

$0 = - (5m - 10) \\ 0 = - 5m + 10 \\ - 10 = - 5m \\ m = 2$

and

$0 = 8m - 6 \\ 6 = 8m \\ m = 0.75$