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Simplifying 3m2 + -54 = 9m Reorder the terms: -54 + 3m2 = 9m Solving -54 + 3m2 = 9m Solving for variable 'm'. Reorder the terms: -54 + -9m + 3m2 = 9m + -9m Combine like terms: 9m + -9m = 0 -54 + -9m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-18 + -3m + m2) = 0 Factor a trinomial. 3((-3 + -1m)(6 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
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 = 6Solution
m = {-3, 6}
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