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Simplifying m2 + -10m + -5 = 6 Reorder the terms: -5 + -10m + m2 = 6 Solving -5 + -10m + m2 = 6 Solving for variable 'm'. Reorder the terms: -5 + -6 + -10m + m2 = 6 + -6 Combine like terms: -5 + -6 = -11 -11 + -10m + m2 = 6 + -6 Combine like terms: 6 + -6 = 0 -11 + -10m + m2 = 0 Factor a trinomial. (-1 + -1m)(11 + -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 '(11 + -1m)' equal to zero and attempt to solve: Simplifying 11 + -1m = 0 Solving 11 + -1m = 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 + -1m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 0 + -11 -1m = 0 + -11 Combine like terms: 0 + -11 = -11 -1m = -11 Divide each side by '-1'. m = 11 Simplifying m = 11Solution
m = {-1, 11}
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