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Simplifying 6m2 + 48 = 54m Reorder the terms: 48 + 6m2 = 54m Solving 48 + 6m2 = 54m Solving for variable 'm'. Reorder the terms: 48 + -54m + 6m2 = 54m + -54m Combine like terms: 54m + -54m = 0 48 + -54m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(8 + -9m + m2) = 0 Factor a trinomial. 6((1 + -1m)(8 + -1m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 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 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {1, 8}
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