Expanding the left side(7m+6)(6-7m= 7m(6) + 7m(-7m) + 6(6) + 6(-7m= 42m - 49m^2 + 36 - 42= -49m^2 + 36
Expanding the right side36 - m(m+1= 36 - m^2 -m
Now, equating the two sides-49m^2 + 36 = 36 - m^2 - m
Combining like terms-49m^2 + 36 = 36 - m^2 - -49m^2 + m^2 + m = -48m^2 + m = m(-48m + 1) = 0
Therefore, the possible values for m arem = 0 or m = 1/48
Expanding the left side
(7m+6)(6-7m
= 7m(6) + 7m(-7m) + 6(6) + 6(-7m
= 42m - 49m^2 + 36 - 42
= -49m^2 + 36
Expanding the right side
36 - m(m+1
= 36 - m^2 -m
Now, equating the two sides
-49m^2 + 36 = 36 - m^2 - m
Combining like terms
-49m^2 + 36 = 36 - m^2 -
-49m^2 + m^2 + m =
-48m^2 + m =
m(-48m + 1) = 0
Therefore, the possible values for m are
m = 0 or m = 1/48