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Simplifying 8m2 + -44m + 48 = 0 Reorder the terms: 48 + -44m + 8m2 = 0 Solving 48 + -44m + 8m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(12 + -11m + 2m2) = 0 Factor a trinomial. 4((3 + -2m)(4 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Subproblem 2
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 = 4Solution
m = {1.5, 4}
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