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Simplifying m2 + -10m + -42 = -3 Reorder the terms: -42 + -10m + m2 = -3 Solving -42 + -10m + m2 = -3 Solving for variable 'm'. Reorder the terms: -42 + 3 + -10m + m2 = -3 + 3 Combine like terms: -42 + 3 = -39 -39 + -10m + m2 = -3 + 3 Combine like terms: -3 + 3 = 0 -39 + -10m + m2 = 0 Factor a trinomial. (-3 + -1m)(13 + -1m) = 0Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(13 + -1m)' equal to zero and attempt to solve: Simplifying 13 + -1m = 0 Solving 13 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1m = 0 + -13 -1m = 0 + -13 Combine like terms: 0 + -13 = -13 -1m = -13 Divide each side by '-1'. m = 13 Simplifying m = 13Solution
m = {-3, 13}
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