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Simplifying 7m2 + -20m + 48 = 5m2 Reorder the terms: 48 + -20m + 7m2 = 5m2 Solving 48 + -20m + 7m2 = 5m2 Solving for variable 'm'. Combine like terms: 7m2 + -5m2 = 2m2 48 + -20m + 2m2 = 5m2 + -5m2 Combine like terms: 5m2 + -5m2 = 0 48 + -20m + 2m2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + -10m + m2) = 0 Factor a trinomial. 2((4 + -1m)(6 + -1m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Subproblem 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 = {4, 6}
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