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Solve the inequality
x²(x-12)(x+3))/(x-4)(x+7)≥0
A) (−7,−3]∪(4,12]
B) (−[infinity],−7]∪[−3,4)∪[12,[infinity])
C) (−[infinity],−7)∪[−3,0)∪(0,4)∪[12,[infinity])
D) (−[infinity],−7)∪[12,[infinity])