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Simplifying m2 + -5m = 6 Reorder the terms: -5m + m2 = 6 Solving -5m + m2 = 6 Solving for variable 'm'. Reorder the terms: -6 + -5m + m2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -5m + 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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