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Simplifying (m + 5)(m + -7) = 0 Reorder the terms: (5 + m)(m + -7) = 0 Reorder the terms: (5 + m)(-7 + m) = 0 Multiply (5 + m) * (-7 + m) (5(-7 + m) + m(-7 + m)) = 0 ((-7 * 5 + m * 5) + m(-7 + m)) = 0 ((-35 + 5m) + m(-7 + m)) = 0 (-35 + 5m + (-7 * m + m * m)) = 0 (-35 + 5m + (-7m + m2)) = 0 Combine like terms: 5m + -7m = -2m (-35 + -2m + m2) = 0 Solving -35 + -2m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -1m)(7 + -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 '(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 = {-5, 7}
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