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Simplifying 5m2 + 4m + -112 = -7 Reorder the terms: -112 + 4m + 5m2 = -7 Solving -112 + 4m + 5m2 = -7 Solving for variable 'm'. Reorder the terms: -112 + 7 + 4m + 5m2 = -7 + 7 Combine like terms: -112 + 7 = -105 -105 + 4m + 5m2 = -7 + 7 Combine like terms: -7 + 7 = 0 -105 + 4m + 5m2 = 0 Factor a trinomial. (-5 + -1m)(21 + -5m) = 0Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(21 + -5m)' equal to zero and attempt to solve: Simplifying 21 + -5m = 0 Solving 21 + -5m = 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 + -5m = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5m = 0 + -21 -5m = 0 + -21 Combine like terms: 0 + -21 = -21 -5m = -21 Divide each side by '-5'. m = 4.2 Simplifying m = 4.2Solution
m = {-5, 4.2}
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