Answer: \(m = 25\) or \(m = -1\)
\[2m^2 - 48m - 50 = 0\]\[m^2 - 24m - 25 = 0 \quad (\div 2)\]\[m^2 - 25m + m - 25 = 0\]\[m(m - 25) + 1(m - 25) = 0\]\[(m - 25)(m + 1) = 0\]So \(m = 25\) or \(m = -1\).
Answer: \(m = 25\) or \(m = -1\)
\[2m^2 - 48m - 50 = 0\]\[m^2 - 24m - 25 = 0 \quad (\div 2)\]\[m^2 - 25m + m - 25 = 0\]\[m(m - 25) + 1(m - 25) = 0\]\[(m - 25)(m + 1) = 0\]So \(m = 25\) or \(m = -1\).
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