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Simplifying 2m2 + -50m + 48 = 0 Reorder the terms: 48 + -50m + 2m2 = 0 Solving 48 + -50m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -25m + m2) = 0 Factor a trinomial. 2((1 + -1m)(24 + -1m)) = 0 Ignore the factor 2.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 '(24 + -1m)' equal to zero and attempt to solve: Simplifying 24 + -1m = 0 Solving 24 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1m = 0 + -24 -1m = 0 + -24 Combine like terms: 0 + -24 = -24 -1m = -24 Divide each side by '-1'. m = 24 Simplifying m = 24Solution
m = {1, 24}
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