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Simplifying 0 = m2 + 3m + -54 Reorder the terms: 0 = -54 + 3m + m2 Solving 0 = -54 + 3m + m2 Solving for variable 'm'. Combine like terms: 0 + 54 = 54 54 + -3m + -1m2 = -54 + 3m + m2 + 54 + -3m + -1m2 Reorder the terms: 54 + -3m + -1m2 = -54 + 54 + 3m + -3m + m2 + -1m2 Combine like terms: -54 + 54 = 0 54 + -3m + -1m2 = 0 + 3m + -3m + m2 + -1m2 54 + -3m + -1m2 = 3m + -3m + m2 + -1m2 Combine like terms: 3m + -3m = 0 54 + -3m + -1m2 = 0 + m2 + -1m2 54 + -3m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 54 + -3m + -1m2 = 0 Factor a trinomial. (6 + -1m)(9 + m) = 0Subproblem 1
Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6Subproblem 2
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 = -9Solution
m = {6, -9}
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