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Simplifying 6m2 + 50m = -56 Reorder the terms: 50m + 6m2 = -56 Solving 50m + 6m2 = -56 Solving for variable 'm'. Reorder the terms: 56 + 50m + 6m2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + 50m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + 25m + 3m2) = 0 Factor a trinomial. 2((7 + m)(4 + 3m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 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 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7Subproblem 2
Set the factor '(4 + 3m)' equal to zero and attempt to solve: Simplifying 4 + 3m = 0 Solving 4 + 3m = 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 + 3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3m = 0 + -4 3m = 0 + -4 Combine like terms: 0 + -4 = -4 3m = -4 Divide each side by '3'. m = -1.333333333 Simplifying m = -1.333333333Solution
m = {-7, -1.333333333}
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