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

Sagot :

                            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}.