How do you factor 8m squared + 20m = 12

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27-05-2015
Mathematics

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How do you factor 8m squared + 20m = 12

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Can someone help me with this and not get any wrong please!

Panoyin Panoyin · Answer 1 · 2015-05-28T01:52:32+02:00

   8m² + 20m = 12
   8m² + 20m - 12 = 12 - 12
   8m² + 20m - 12 = 0
   8m² + 24m - 4m - 12 = 0
4m(2m) + 4m(6) - 2(2m) - 2(6) = 0
      4m(2m + 6) - 2(2m + 6) = 0
   (4m - 2)(2m + 6) = 0
4m - 2 = 0     ∨     2m + 6 = 0
   + 2 + 2 - 6 - 6
   4m = 2    2m = -6
   4    4    2 2
   m = ¹/₂ m = -3
The solution set is equal to {¹/₂, -3}.