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Simplifying -7m = -1m2 + -6 Reorder the terms: -7m = -6 + -1m2 Solving -7m = -6 + -1m2 Solving for variable 'm'. Reorder the terms: 6 + -7m + m2 = -6 + -1m2 + 6 + m2 Reorder the terms: 6 + -7m + m2 = -6 + 6 + -1m2 + m2 Combine like terms: -6 + 6 = 0 6 + -7m + m2 = 0 + -1m2 + m2 6 + -7m + m2 = -1m2 + m2 Combine like terms: -1m2 + m2 = 0 6 + -7m + m2 = 0 Factor a trinomial. (1 + -1m)(6 + -1m) = 0Subproblem 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 '(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 = 6Solution
m = {1, 6}
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