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Simplifying m(m + -11) = -30 Reorder the terms: m(-11 + m) = -30 (-11 * m + m * m) = -30 (-11m + m2) = -30 Solving -11m + m2 = -30 Solving for variable 'm'. Reorder the terms: 30 + -11m + m2 = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -11m + m2 = 0 Factor a trinomial. (5 + -1m)(6 + -1m) = 0Subproblem 1
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Subproblem 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 = {5, 6}
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