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Simplifying m2 + -3m + -504 = 0 Reorder the terms: -504 + -3m + m2 = 0 Solving -504 + -3m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-21 + -1m)(24 + -1m) = 0Subproblem 1
Set the factor '(-21 + -1m)' equal to zero and attempt to solve: Simplifying -21 + -1m = 0 Solving -21 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1m = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1m = 0 + 21 -1m = 0 + 21 Combine like terms: 0 + 21 = 21 -1m = 21 Divide each side by '-1'. m = -21 Simplifying m = -21Subproblem 2
Set the factor '(24 + -1m)' equal to zero and attempt to solve: Simplifying 24 + -1m = 0 Solving 24 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1m = 0 + -24 -1m = 0 + -24 Combine like terms: 0 + -24 = -24 -1m = -24 Divide each side by '-1'. m = 24 Simplifying m = 24Solution
m = {-21, 24}
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