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Simplifying m2 = 300 + -20m Solving m2 = 300 + -20m Solving for variable 'm'. Reorder the terms: -300 + 20m + m2 = 300 + -20m + -300 + 20m Reorder the terms: -300 + 20m + m2 = 300 + -300 + -20m + 20m Combine like terms: 300 + -300 = 0 -300 + 20m + m2 = 0 + -20m + 20m -300 + 20m + m2 = -20m + 20m Combine like terms: -20m + 20m = 0 -300 + 20m + m2 = 0 Factor a trinomial. (-30 + -1m)(10 + -1m) = 0Subproblem 1
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 = -30Subproblem 2
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 = 10Solution
m = {-30, 10}
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