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Simplifying 2m2 + -3m = 44 Reorder the terms: -3m + 2m2 = 44 Solving -3m + 2m2 = 44 Solving for variable 'm'. Reorder the terms: -44 + -3m + 2m2 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + -3m + 2m2 = 0 Factor a trinomial. (-4 + -1m)(11 + -2m) = 0Subproblem 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 '(11 + -2m)' equal to zero and attempt to solve: Simplifying 11 + -2m = 0 Solving 11 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2m = 0 + -11 -2m = 0 + -11 Combine like terms: 0 + -11 = -11 -2m = -11 Divide each side by '-2'. m = 5.5 Simplifying m = 5.5Solution
m = {-4, 5.5}
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