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Simplifying (m + -7)(m + -11) = 0 Reorder the terms: (-7 + m)(m + -11) = 0 Reorder the terms: (-7 + m)(-11 + m) = 0 Multiply (-7 + m) * (-11 + m) (-7(-11 + m) + m(-11 + m)) = 0 ((-11 * -7 + m * -7) + m(-11 + m)) = 0 ((77 + -7m) + m(-11 + m)) = 0 (77 + -7m + (-11 * m + m * m)) = 0 (77 + -7m + (-11m + m2)) = 0 Combine like terms: -7m + -11m = -18m (77 + -18m + m2) = 0 Solving 77 + -18m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -1m)(11 + -1m) = 0Subproblem 1
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Subproblem 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 = {7, 11}
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