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Simplifying (m + -6)(m + -7) = 0 Reorder the terms: (-6 + m)(m + -7) = 0 Reorder the terms: (-6 + m)(-7 + m) = 0 Multiply (-6 + m) * (-7 + m) (-6(-7 + m) + m(-7 + m)) = 0 ((-7 * -6 + m * -6) + m(-7 + m)) = 0 ((42 + -6m) + m(-7 + m)) = 0 (42 + -6m + (-7 * m + m * m)) = 0 (42 + -6m + (-7m + m2)) = 0 Combine like terms: -6m + -7m = -13m (42 + -13m + m2) = 0 Solving 42 + -13m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (6 + -1m)(7 + -1m) = 0Subproblem 1
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 = 6Subproblem 2
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 = 7Solution
m = {6, 7}
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