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Simplifying (m + 11)(m + -9) = 0 Reorder the terms: (11 + m)(m + -9) = 0 Reorder the terms: (11 + m)(-9 + m) = 0 Multiply (11 + m) * (-9 + m) (11(-9 + m) + m(-9 + m)) = 0 ((-9 * 11 + m * 11) + m(-9 + m)) = 0 ((-99 + 11m) + m(-9 + m)) = 0 (-99 + 11m + (-9 * m + m * m)) = 0 (-99 + 11m + (-9m + m2)) = 0 Combine like terms: 11m + -9m = 2m (-99 + 2m + m2) = 0 Solving -99 + 2m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-11 + -1m)(9 + -1m) = 0Subproblem 1
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 = -11Subproblem 2
Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {-11, 9}
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