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Simplifying 0 = m2 + 19m + 18 Reorder the terms: 0 = 18 + 19m + m2 Solving 0 = 18 + 19m + m2 Solving for variable 'm'. Combine like terms: 0 + -18 = -18 -18 + -19m + -1m2 = 18 + 19m + m2 + -18 + -19m + -1m2 Reorder the terms: -18 + -19m + -1m2 = 18 + -18 + 19m + -19m + m2 + -1m2 Combine like terms: 18 + -18 = 0 -18 + -19m + -1m2 = 0 + 19m + -19m + m2 + -1m2 -18 + -19m + -1m2 = 19m + -19m + m2 + -1m2 Combine like terms: 19m + -19m = 0 -18 + -19m + -1m2 = 0 + m2 + -1m2 -18 + -19m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -18 + -19m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 19m + m2) = 0 Factor a trinomial. -1((18 + m)(1 + m)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(18 + m)' equal to zero and attempt to solve: Simplifying 18 + m = 0 Solving 18 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + m = 0 + -18 m = 0 + -18 Combine like terms: 0 + -18 = -18 m = -18 Simplifying m = -18Subproblem 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 = {-18, -1}
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