SOLUTION: m2-5m=0

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Question 448725: m2-5m=0

Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
m%5E2+-+5m+=+0
Factor ("undistribute") by pulling out an m: m%28m+-+5%29+=+0
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 m%28m+-+5%29+=+0, 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):
m%5E2+-+5m+=+0
==> %280%29%5E2+-+5%280%29+=+0
0 - 0 = 0
0 = 0
Correct--therefore, 0 IS a potential value of m.
==> %285%29%5E2+-+5%285%29+=+0
25 - 25 = 0
0 = 0
Correct--therefore, 5 IS a potential value of m.
***THEREFORE, THE ANSWER IS m = {0, 5}