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Simplifying m2 + -8m + -44 = 4 + -6m Reorder the terms: -44 + -8m + m2 = 4 + -6m Solving -44 + -8m + m2 = 4 + -6m Solving for variable 'm'. Reorder the terms: -44 + -4 + -8m + 6m + m2 = 4 + -6m + -4 + 6m Combine like terms: -44 + -4 = -48 -48 + -8m + 6m + m2 = 4 + -6m + -4 + 6m Combine like terms: -8m + 6m = -2m -48 + -2m + m2 = 4 + -6m + -4 + 6m Reorder the terms: -48 + -2m + m2 = 4 + -4 + -6m + 6m Combine like terms: 4 + -4 = 0 -48 + -2m + m2 = 0 + -6m + 6m -48 + -2m + m2 = -6m + 6m Combine like terms: -6m + 6m = 0 -48 + -2m + m2 = 0 Factor a trinomial. (-6 + -1m)(8 + -1m) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-6, 8}
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