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