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Simplifying m2 + -3m + -378 = 0 Reorder the terms: -378 + -3m + m2 = 0 Solving -378 + -3m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-18 + -1m)(21 + -1m) = 0Subproblem 1
Set the factor '(-18 + -1m)' equal to zero and attempt to solve: Simplifying -18 + -1m = 0 Solving -18 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1m = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1m = 0 + 18 -1m = 0 + 18 Combine like terms: 0 + 18 = 18 -1m = 18 Divide each side by '-1'. m = -18 Simplifying m = -18Subproblem 2
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 = 21Solution
m = {-18, 21}
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