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Simplifying m2 + 5m + -99 = 3m Reorder the terms: -99 + 5m + m2 = 3m Solving -99 + 5m + m2 = 3m Solving for variable 'm'. Reorder the terms: -99 + 5m + -3m + m2 = 3m + -3m Combine like terms: 5m + -3m = 2m -99 + 2m + m2 = 3m + -3m Combine like terms: 3m + -3m = 0 -99 + 2m + m2 = 0 Factor a trinomial. (-11 + -1m)(9 + -1m) = 0Subproblem 1
Set the factor '(-11 + -1m)' equal to zero and attempt to solve: Simplifying -11 + -1m = 0 Solving -11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1m = 0 + 11 -1m = 0 + 11 Combine like terms: 0 + 11 = 11 -1m = 11 Divide each side by '-1'. m = -11 Simplifying m = -11Subproblem 2
Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9Solution
m = {-11, 9}
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