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Simplifying 2(m2 + 10m + 9) = 0 Reorder the terms: 2(9 + 10m + m2) = 0 (9 * 2 + 10m * 2 + m2 * 2) = 0 (18 + 20m + 2m2) = 0 Solving 18 + 20m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 10m + m2) = 0 Factor a trinomial. 2((9 + m)(1 + m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {-9, -1}
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