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5m2 - 17m + 12 = 0
∴ 5m2 - 5m - 12m + 12 = 0
∴ 5m(m - 1) - 12(m - 1) = 0
∴ (5m - 12)(m - 1) = 0
∴ m ∈ {1, 12/5}

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Q: 5m2-17m plus 12 equals 0
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