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Simplifying 3m2 + -7m = 48 Reorder the terms: -7m + 3m2 = 48 Solving -7m + 3m2 = 48 Solving for variable 'm'. Reorder the terms: -48 + -7m + 3m2 = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -7m + 3m2 = 0 Factor a trinomial. (-3 + -1m)(16 + -3m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(16 + -3m)' equal to zero and attempt to solve: Simplifying 16 + -3m = 0 Solving 16 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3m = 0 + -16 -3m = 0 + -16 Combine like terms: 0 + -16 = -16 -3m = -16 Divide each side by '-3'. m = 5.333333333 Simplifying m = 5.333333333Solution
m = {-3, 5.333333333}
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