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Simplifying 3m2 + -18m + 25 = 1 Reorder the terms: 25 + -18m + 3m2 = 1 Solving 25 + -18m + 3m2 = 1 Solving for variable 'm'. Reorder the terms: 25 + -1 + -18m + 3m2 = 1 + -1 Combine like terms: 25 + -1 = 24 24 + -18m + 3m2 = 1 + -1 Combine like terms: 1 + -1 = 0 24 + -18m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -6m + m2) = 0 Factor a trinomial. 3((2 + -1m)(4 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 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 = {2, 4}
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