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Simplifying 2m2 + -40m + 38 = 0 Reorder the terms: 38 + -40m + 2m2 = 0 Solving 38 + -40m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2'. 2(19 + -20m + m2) = 0 Factor a trinomial. 2((1 + -1m)(19 + -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 '(19 + -1m)' equal to zero and attempt to solve: Simplifying 19 + -1m = 0 Solving 19 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1m = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1m = 0 + -19 -1m = 0 + -19 Combine like terms: 0 + -19 = -19 -1m = -19 Divide each side by '-1'. m = 19 Simplifying m = 19Solution
m = {1, 19}
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