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Simplifying 3m2 + 36m + 105 = 0 Reorder the terms: 105 + 36m + 3m2 = 0 Solving 105 + 36m + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(35 + 12m + m2) = 0 Factor a trinomial. 3((7 + m)(5 + m)) = 0 Ignore the factor 3.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 '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Solution
m = {-7, -5}
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