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Simplifying m2 + -7m + 7 = -5 Reorder the terms: 7 + -7m + m2 = -5 Solving 7 + -7m + m2 = -5 Solving for variable 'm'. Reorder the terms: 7 + 5 + -7m + m2 = -5 + 5 Combine like terms: 7 + 5 = 12 12 + -7m + m2 = -5 + 5 Combine like terms: -5 + 5 = 0 12 + -7m + m2 = 0 Factor a trinomial. (3 + -1m)(4 + -1m) = 0Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 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 = {3, 4}
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