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0\times 96m^{2}=50m\times 2\times 80
Multiply m and m to get m^{2}.
0m^{2}=50m\times 2\times 80
Multiply 0 and 96 to get 0.
0=50m\times 2\times 80
Anything times zero gives zero.
0=100m\times 80
Multiply 50 and 2 to get 100.
0=8000m
Multiply 100 and 80 to get 8000.
8000m=0
Swap sides so that all variable terms are on the left hand side.
m=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 8000 is not equal to 0, m must be equal to 0.