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2x + 12/x = 11 (x ≠ 0, eliminate the denominator by multiplying each term of the both sides by x)
2x2 + 12 = 11x (subtract 11x to both sides)
2x2 - 11x + 12 = 0
(2x - 3)(x - 4) = 0
2x - 3 = 0 or x - 4 = 0
x = 3/2 or x = 4
Since x = 3/2 and x = 4 satisfy the equation, they are the solutions of the equation.
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