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Simplifying 3m2 = -30 + -21m Solving 3m2 = -30 + -21m Solving for variable 'm'. Reorder the terms: 30 + 21m + 3m2 = -30 + -21m + 30 + 21m Reorder the terms: 30 + 21m + 3m2 = -30 + 30 + -21m + 21m Combine like terms: -30 + 30 = 0 30 + 21m + 3m2 = 0 + -21m + 21m 30 + 21m + 3m2 = -21m + 21m Combine like terms: -21m + 21m = 0 30 + 21m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 7m + m2) = 0 Factor a trinomial. 3((5 + m)(2 + m)) = 0 Ignore the factor 3.Subproblem 1
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 = -5Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Solution
m = {-5, -2}
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