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Simplifying m2 + -20m + -300 = 0 Reorder the terms: -300 + -20m + m2 = 0 Solving -300 + -20m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-10 + -1m)(30 + -1m) = 0Subproblem 1
Set the factor '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10Subproblem 2
Set the factor '(30 + -1m)' equal to zero and attempt to solve: Simplifying 30 + -1m = 0 Solving 30 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1m = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1m = 0 + -30 -1m = 0 + -30 Combine like terms: 0 + -30 = -30 -1m = -30 Divide each side by '-1'. m = 30 Simplifying m = 30Solution
m = {-10, 30}
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