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5x=9\times 0\times 0\times 2
Multiply both sides of the equation by 900, the least common multiple of 180,100.
5x=0\times 0\times 2
Multiply 9 and 0 to get 0.
5x=0\times 2
Multiply 0 and 0 to get 0.
5x=0
Multiply 0 and 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 5 is not equal to 0, x must be equal to 0.