Question

$2m(m - 24) = 50$
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Answer 1

ANSWER....

$2m(m - 24) = 50 \\ \\ 2 {m}^{2} - 2m(24) = 50 \\ \\ 2 {m}^{2} - 48m = 50 \\ \\ 2 {m}^{2} - 48m - 50 = 0 \\ \\ 2 {m}^{2} - 50m + 2m - 50 = 0 \\ \\ 2 {m}(m - 25) + 2(m - 25) = 0 \\ \\ (m - 25)(2m + 2) = 0 \\ \\ first \: solution...m - 25 = 0 \\ m = 25 \\ \\ second \: solution \\ 2m + 2 = 0 \\ \\ 2m = - 2 \\ \\ m = - 1$

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