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Simplifying 7 = m2 + 3m + -3 Reorder the terms: 7 = -3 + 3m + m2 Solving 7 = -3 + 3m + m2 Solving for variable 'm'. Combine like terms: 7 + 3 = 10 10 + -3m + -1m2 = -3 + 3m + m2 + 3 + -3m + -1m2 Reorder the terms: 10 + -3m + -1m2 = -3 + 3 + 3m + -3m + m2 + -1m2 Combine like terms: -3 + 3 = 0 10 + -3m + -1m2 = 0 + 3m + -3m + m2 + -1m2 10 + -3m + -1m2 = 3m + -3m + m2 + -1m2 Combine like terms: 3m + -3m = 0 10 + -3m + -1m2 = 0 + m2 + -1m2 10 + -3m + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 10 + -3m + -1m2 = 0 Factor a trinomial. (2 + -1m)(5 + m) = 0Subproblem 1
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Subproblem 2
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 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 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Solution
m = {2, -5}
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