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Simplifying 3m2 + 19m + 28 = 0 Reorder the terms: 28 + 19m + 3m2 = 0 Solving 28 + 19m + 3m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + m)(7 + 3m) = 0Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 2
Set the factor '(7 + 3m)' equal to zero and attempt to solve: Simplifying 7 + 3m = 0 Solving 7 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3m = 0 + -7 3m = 0 + -7 Combine like terms: 0 + -7 = -7 3m = -7 Divide each side by '3'. m = -2.333333333 Simplifying m = -2.333333333Solution
m = {-4, -2.333333333}
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