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Simplifying (m + -7)(m + -3) = 0 Reorder the terms: (-7 + m)(m + -3) = 0 Reorder the terms: (-7 + m)(-3 + m) = 0 Multiply (-7 + m) * (-3 + m) (-7(-3 + m) + m(-3 + m)) = 0 ((-3 * -7 + m * -7) + m(-3 + m)) = 0 ((21 + -7m) + m(-3 + m)) = 0 (21 + -7m + (-3 * m + m * m)) = 0 (21 + -7m + (-3m + m2)) = 0 Combine like terms: -7m + -3m = -10m (21 + -10m + m2) = 0 Solving 21 + -10m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -1m)(7 + -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 '(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 = {3, 7}
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