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Simplifying 18m2 + 110m + 100 = 0 Reorder the terms: 100 + 110m + 18m2 = 0 Solving 100 + 110m + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(50 + 55m + 9m2) = 0 Factor a trinomial. 2((5 + m)(10 + 9m)) = 0 Ignore the factor 2.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 '(10 + 9m)' equal to zero and attempt to solve: Simplifying 10 + 9m = 0 Solving 10 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9m = 0 + -10 9m = 0 + -10 Combine like terms: 0 + -10 = -10 9m = -10 Divide each side by '9'. m = -1.111111111 Simplifying m = -1.111111111Solution
m = {-5, -1.111111111}
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