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Simplifying (m + -3)(m + -4) = 0 Reorder the terms: (-3 + m)(m + -4) = 0 Reorder the terms: (-3 + m)(-4 + m) = 0 Multiply (-3 + m) * (-4 + m) (-3(-4 + m) + m(-4 + m)) = 0 ((-4 * -3 + m * -3) + m(-4 + m)) = 0 ((12 + -3m) + m(-4 + m)) = 0 (12 + -3m + (-4 * m + m * m)) = 0 (12 + -3m + (-4m + m2)) = 0 Combine like terms: -3m + -4m = -7m (12 + -7m + m2) = 0 Solving 12 + -7m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -1m)(4 + -1m) = 0Subproblem 1
Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {3, 4}
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