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Factor ("undistribute") by pulling out an m:
For each factor (m and m - 5), make the factor equal to zero and solve for m. This is because the product of the factors is zero (as , and the only way for this to be so is if at least one of the factors is equal to zero.
==> m = 0
m = 0
==> m - 5 = 0
Add 5 to both sides: m = 5
m = 5
So, m could equal 0 or 5.
CHECK (to prove it to you):
==>
0 - 0 = 0
0 = 0
Correct--therefore, 0 IS a potential value of m.
==>
25 - 25 = 0
0 = 0
Correct--therefore, 5 IS a potential value of m.
***THEREFORE, THE ANSWER IS m = {0, 5}