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Simplifying (2m + -5)(m + 7) = 0 Reorder the terms: (-5 + 2m)(m + 7) = 0 Reorder the terms: (-5 + 2m)(7 + m) = 0 Multiply (-5 + 2m) * (7 + m) (-5(7 + m) + 2m * (7 + m)) = 0 ((7 * -5 + m * -5) + 2m * (7 + m)) = 0 ((-35 + -5m) + 2m * (7 + m)) = 0 (-35 + -5m + (7 * 2m + m * 2m)) = 0 (-35 + -5m + (14m + 2m2)) = 0 Combine like terms: -5m + 14m = 9m (-35 + 9m + 2m2) = 0 Solving -35 + 9m + 2m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -1m)(5 + -2m) = 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 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {-7, 2.5}
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