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Simplifying (m + -2)(m + 7) = 0 Reorder the terms: (-2 + m)(m + 7) = 0 Reorder the terms: (-2 + m)(7 + m) = 0 Multiply (-2 + m) * (7 + m) (-2(7 + m) + m(7 + m)) = 0 ((7 * -2 + m * -2) + m(7 + m)) = 0 ((-14 + -2m) + m(7 + m)) = 0 (-14 + -2m + (7 * m + m * m)) = 0 (-14 + -2m + (7m + m2)) = 0 Combine like terms: -2m + 7m = 5m (-14 + 5m + m2) = 0 Solving -14 + 5m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -1m)(2 + -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 '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-7, 2}
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