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Simplifying m2 + 15m + -100 = 0 Reorder the terms: -100 + 15m + m2 = 0 Solving -100 + 15m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-20 + -1m)(5 + -1m) = 0Subproblem 1
Set the factor '(-20 + -1m)' equal to zero and attempt to solve: Simplifying -20 + -1m = 0 Solving -20 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1m = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1m = 0 + 20 -1m = 0 + 20 Combine like terms: 0 + 20 = 20 -1m = 20 Divide each side by '-1'. m = -20 Simplifying m = -20Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 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 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-20, 5}
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